diff --git a/compiler/src/dotty/tools/repl/ParseResult.scala b/compiler/src/dotty/tools/repl/ParseResult.scala
index f8a1f3df21b2..89e6a868eed0 100644
--- a/compiler/src/dotty/tools/repl/ParseResult.scala
+++ b/compiler/src/dotty/tools/repl/ParseResult.scala
@@ -4,6 +4,7 @@ package repl
 import dotc.reporting.diagnostic.MessageContainer
 import dotc.core.Contexts.Context
 import dotc.parsing.Parsers.Parser
+import dotc.parsing.Tokens
 import dotc.util.SourceFile
 import dotc.ast.untpd
 import dotc.reporting._
@@ -97,6 +98,12 @@ object ParseResult {
 
   @sharable private[this] val CommandExtract = """(:[\S]+)\s*(.*)""".r
 
+  private def parseStats(parser: Parser): List[untpd.Tree] = {
+    val stats = parser.blockStatSeq()
+    parser.accept(Tokens.EOF)
+    stats
+  }
+
   /** Extract a `ParseResult` from the string `sourceCode` */
   def apply(sourceCode: String)(implicit ctx: Context): ParseResult =
     sourceCode match {
@@ -114,7 +121,7 @@ object ParseResult {
         val source = new SourceFile("<console>", sourceCode.toCharArray)
         val parser = new Parser(source)
 
-        val (_, stats) = parser.templateStatSeq()
+        val stats = parseStats(parser)
 
         if (ctx.reporter.hasErrors) {
           SyntaxErrors(sourceCode,
@@ -140,7 +147,7 @@ object ParseResult {
         reporter.withIncompleteHandler(_ => _ => needsMore = true) {
           val source = new SourceFile("<console>", sourceCode.toCharArray)
           val parser = new Parser(source)(ctx.fresh.setReporter(reporter))
-          parser.templateStatSeq()
+          parseStats(parser)
           !reporter.hasErrors && needsMore
         }
       }
diff --git a/compiler/src/dotty/tools/repl/Rendering.scala b/compiler/src/dotty/tools/repl/Rendering.scala
index 15125320ef1e..5dff8890d336 100644
--- a/compiler/src/dotty/tools/repl/Rendering.scala
+++ b/compiler/src/dotty/tools/repl/Rendering.scala
@@ -1,7 +1,9 @@
 package dotty.tools
 package repl
 
-import java.lang.ClassLoader
+import java.io.{ StringWriter, PrintWriter }
+import java.lang.{ ClassLoader, ExceptionInInitializerError }
+import java.lang.reflect.InvocationTargetException
 
 import scala.util.control.NonFatal
 
@@ -70,10 +72,26 @@ private[repl] class Rendering(compiler: ReplCompiler,
   /** Render value definition result */
   def renderVal(d: Denotation)(implicit ctx: Context): Option[String] = {
     val dcl = d.symbol.showUser
-    val resultValue =
-      if (d.symbol.is(Flags.Lazy)) Some("<lazy>")
-      else valueOf(d.symbol)
 
-    resultValue.map(value => s"$dcl = $value")
+    try {
+      val resultValue =
+        if (d.symbol.is(Flags.Lazy)) Some("<lazy>")
+        else valueOf(d.symbol)
+
+      resultValue.map(value => s"$dcl = $value")
+    }
+    catch { case ex: InvocationTargetException => Some(renderError(ex)) }
+  }
+
+  /** Render the stack trace of the underlying exception */
+  private def renderError(ex: InvocationTargetException): String = {
+    val cause = ex.getCause match {
+      case ex: ExceptionInInitializerError => ex.getCause
+      case ex => ex
+    }
+    val sw = new StringWriter()
+    val pw = new PrintWriter(sw)
+    cause.printStackTrace(pw)
+    sw.toString
   }
 }
diff --git a/compiler/src/dotty/tools/repl/ReplCompiler.scala b/compiler/src/dotty/tools/repl/ReplCompiler.scala
index e1a649c1258c..495f1159e357 100644
--- a/compiler/src/dotty/tools/repl/ReplCompiler.scala
+++ b/compiler/src/dotty/tools/repl/ReplCompiler.scala
@@ -146,7 +146,7 @@ class ReplCompiler(val directory: AbstractFile) extends Compiler {
    *  }
    *  ```
    */
-  def wrapped(defs: Definitions): untpd.PackageDef = {
+  def wrapped(defs: Definitions, sourceCode: String): untpd.PackageDef = {
     import untpd._
 
     implicit val ctx: Context = defs.state.run.runContext
@@ -156,7 +156,7 @@ class ReplCompiler(val directory: AbstractFile) extends Compiler {
       List(
         ModuleDef(objectName(defs.state), tmpl)
           .withMods(new Modifiers(Module | Final))
-          .withPos(Position(defs.stats.head.pos.start, defs.stats.last.pos.end))
+          .withPos(Position(0, sourceCode.length))
       )
     }
 
@@ -170,7 +170,7 @@ class ReplCompiler(val directory: AbstractFile) extends Compiler {
 
   def createUnit(defs: Definitions, sourceCode: String): Result[CompilationUnit] = {
     val unit = new CompilationUnit(new SourceFile(objectName(defs.state).toString, sourceCode))
-    unit.untpdTree = wrapped(defs)
+    unit.untpdTree = wrapped(defs, sourceCode)
     unit.result
   }
 
@@ -238,7 +238,7 @@ class ReplCompiler(val directory: AbstractFile) extends Compiler {
         PackageDef(Ident(nme.EMPTY_PACKAGE),
           TypeDef("EvaluateExpr".toTypeName, tmpl)
             .withMods(new Modifiers(Final))
-            .withPos(Position(trees.head.pos.start, trees.last.pos.end)) :: Nil
+            .withPos(Position(0, expr.length)) :: Nil
         )
       }
 
diff --git a/compiler/src/dotty/tools/repl/ReplDriver.scala b/compiler/src/dotty/tools/repl/ReplDriver.scala
index 138f5b032f7c..6d445b28a2a7 100644
--- a/compiler/src/dotty/tools/repl/ReplDriver.scala
+++ b/compiler/src/dotty/tools/repl/ReplDriver.scala
@@ -186,7 +186,7 @@ class ReplDriver(settings: Array[String],
 
   private def interpret(res: ParseResult)(implicit state: State): State =
     res match {
-      case parsed: Parsed =>
+      case parsed: Parsed if parsed.trees.nonEmpty =>
         compile(parsed)
           .withHistory(parsed.sourceCode :: state.history)
           .newRun(compiler, rootCtx)
@@ -195,9 +195,13 @@ class ReplDriver(settings: Array[String],
         displayErrors(errs)
         state.withHistory(src :: state.history)
 
-      case Newline | SigKill => state
-
       case cmd: Command => interpretCommand(cmd)
+
+      case SigKill => // TODO
+        state
+
+      case _ => // new line, empty tree
+        state
     }
 
   /** Compile `parsed` trees and evolve `state` in accordance */
diff --git a/compiler/test-resources/repl/parsing b/compiler/test-resources/repl/parsing
new file mode 100644
index 000000000000..2b3da45aa537
--- /dev/null
+++ b/compiler/test-resources/repl/parsing
@@ -0,0 +1,14 @@
+scala> ; 
+scala> ;; 
+scala> 1; 2 
+val res0: Int = 1
+val res1: Int = 2
+scala> 1; 
+val res2: Int = 1
+scala> 1;; 2 
+val res3: Int = 1
+val res4: Int = 2
+scala> } 
+1 | }
+  | ^
+  | eof expected, but '}' found
diff --git a/compiler/test/dotty/tools/repl/CompilerTests.scala b/compiler/test/dotty/tools/repl/CompilerTests.scala
index 20f29e45829f..733372ad48d7 100644
--- a/compiler/test/dotty/tools/repl/CompilerTests.scala
+++ b/compiler/test/dotty/tools/repl/CompilerTests.scala
@@ -92,4 +92,27 @@ class ReplCompilerTests extends ReplTest {
         storedOutput()
       )
     }
+
+  @Test def i3305: Unit = {
+    fromInitialState { implicit s =>
+      compile("null.toString")
+      storedOutput().startsWith("java.lang.NullPointerException")
+    }
+
+    fromInitialState { implicit s =>
+      compile("def foo: Int = 1 + foo; foo")
+      storedOutput().startsWith("def foo: Int\njava.lang.StackOverflowError")
+    }
+
+    fromInitialState { implicit s =>
+      compile("""throw new IllegalArgumentException("Hello")""")
+      storedOutput().startsWith("java.lang.IllegalArgumentException: Hello")
+    }
+
+    // FIXME
+    // fromInitialState { implicit s =>
+    //   compile("val (x, y) = null")
+    //   storedOutput().startsWith("scala.MatchError: null")
+    // }
+  }
 }
diff --git a/compiler/test/dotty/tools/repl/ScriptedTests.scala b/compiler/test/dotty/tools/repl/ScriptedTests.scala
index 7807c5c1dbdd..3b8262aa0666 100644
--- a/compiler/test/dotty/tools/repl/ScriptedTests.scala
+++ b/compiler/test/dotty/tools/repl/ScriptedTests.scala
@@ -11,7 +11,7 @@ import scala.io.Source
 
 import dotc.reporting.MessageRendering
 
-/** Runs all tests contained in `/repl/test-resources/scripts` */
+/** Runs all tests contained in `compiler/test-resources/repl/` */
 class ScriptedTests extends ReplTest with MessageRendering {
 
   private def scripts(path: String): Array[JFile] = {
@@ -44,7 +44,7 @@ class ScriptedTests extends ReplTest with MessageRendering {
     def evaluate(state: State, input: String, prompt: String) =
       try {
         val nstate = run(input.drop(prompt.length))(state)
-        val out = input + "\n" + stripColor(storedOutput())
+        val out = input + "\n" + storedOutput()
         (out, nstate)
       }
       catch {
diff --git a/compiler/test/dotty/tools/repl/TabcompleteTests.scala b/compiler/test/dotty/tools/repl/TabcompleteTests.scala
index 84ef6cc130ca..c4e60a5458a7 100644
--- a/compiler/test/dotty/tools/repl/TabcompleteTests.scala
+++ b/compiler/test/dotty/tools/repl/TabcompleteTests.scala
@@ -52,4 +52,10 @@ class TabcompleteTests extends ReplTest {
       assert(tabComplete(src2).suggestions.nonEmpty)
     }
   }
+
+  @Test def i3309: Unit =
+    fromInitialState { implicit s =>
+      List("\"", "#", ")", "=", "'", "¨", "£", ".", ":", ",", ";", "@", "}", "[", "]")
+        .foreach(src => assertTrue(tabComplete(src).suggestions.isEmpty))
+    }
 }