diff --git a/main/src/main/scala/sbt/BuildPaths.scala b/main/src/main/scala/sbt/BuildPaths.scala
index b66d0e851..ba4219615 100644
--- a/main/src/main/scala/sbt/BuildPaths.scala
+++ b/main/src/main/scala/sbt/BuildPaths.scala
@@ -121,6 +121,10 @@ object BuildPaths {
   def outputDirectory(base: File) = base / DefaultTargetName
 
   def projectStandard(base: File) = base / "project"
+  def globalLoggingStandard(base: File): File =
+    base.getCanonicalFile / DefaultTargetName / GlobalLogging
+  def globalTaskDirectoryStandard(base: File): File =
+    base.getCanonicalFile / DefaultTargetName / TaskTempDirectory
 
   final val PluginsDirectoryName = "plugins"
   final val DefaultTargetName = "target"
@@ -131,6 +135,8 @@ object BuildPaths {
   final val GlobalSettingsProperty = "sbt.global.settings"
   final val DependencyBaseProperty = "sbt.dependency.base"
   final val GlobalZincProperty = "sbt.global.zinc"
+  final val GlobalLogging = "global-logging"
+  final val TaskTempDirectory = "task-temp-directory"
 
   def crossPath(base: File, instance: xsbti.compile.ScalaInstance): File =
     base / ("scala_" + instance.version)
diff --git a/main/src/main/scala/sbt/Defaults.scala b/main/src/main/scala/sbt/Defaults.scala
index 9701871c4..42e9eeecf 100755
--- a/main/src/main/scala/sbt/Defaults.scala
+++ b/main/src/main/scala/sbt/Defaults.scala
@@ -291,7 +291,12 @@ object Defaults extends BuildCommon {
       },
       watchSources :== Nil, // Although this is deprecated, it can't be removed or it breaks += for legacy builds.
       skip :== false,
-      taskTemporaryDirectory := { val dir = IO.createTemporaryDirectory; dir.deleteOnExit(); dir },
+      taskTemporaryDirectory := {
+        val base = BuildPaths.globalTaskDirectoryStandard(appConfiguration.value.baseDirectory)
+        val dir = IO.createUniqueDirectory(base)
+        ShutdownHooks.add(() => IO.delete(dir))
+        dir
+      },
       onComplete := {
         val tempDirectory = taskTemporaryDirectory.value
         () => Clean.deleteContents(tempDirectory, _ => false)
@@ -697,7 +702,7 @@ object Defaults extends BuildCommon {
   lazy val projectTasks: Seq[Setting[_]] = Seq(
     cleanFiles := cleanFilesTask.value,
     cleanKeepFiles := Vector.empty,
-    cleanKeepGlobs := historyPath.value.map(_.toGlob).toSeq,
+    cleanKeepGlobs ++= historyPath.value.map(_.toGlob).toVector,
     clean := Def.taskDyn(Clean.task(resolvedScoped.value.scope, full = true)).value,
     consoleProject := consoleProjectTask.value,
     transitiveDynamicInputs := SettingsGraph.task.value,
@@ -2190,7 +2195,12 @@ object Classpaths {
         sourceArtifactTypes :== Artifact.DefaultSourceTypes.toVector,
         docArtifactTypes :== Artifact.DefaultDocTypes.toVector,
         cleanKeepFiles :== Nil,
-        cleanKeepGlobs :== Nil,
+        cleanKeepGlobs := {
+          val base = appConfiguration.value.baseDirectory.getCanonicalFile
+          val dirs = BuildPaths
+            .globalLoggingStandard(base) :: BuildPaths.globalTaskDirectoryStandard(base) :: Nil
+          dirs.flatMap(d => Glob(d) :: Glob(d, RecursiveGlob) :: Nil)
+        },
         fileOutputs :== Nil,
         sbtDependency := {
           val app = appConfiguration.value
diff --git a/main/src/main/scala/sbt/Main.scala b/main/src/main/scala/sbt/Main.scala
index 4da7133ff..d570e6bba 100644
--- a/main/src/main/scala/sbt/Main.scala
+++ b/main/src/main/scala/sbt/Main.scala
@@ -141,12 +141,17 @@ object StandardMain {
   val console: ConsoleOut =
     ConsoleOut.systemOutOverwrite(ConsoleOut.overwriteContaining("Resolving "))
 
-  def initialGlobalLogging: GlobalLogging =
+  private[this] def initialGlobalLogging(file: Option[File]): GlobalLogging = {
+    file.foreach(f => if (!f.exists()) IO.createDirectory(f))
     GlobalLogging.initial(
       MainAppender.globalDefault(console),
-      File.createTempFile("sbt", ".log"),
+      File.createTempFile("sbt-global-log", ".log", file.orNull),
       console
     )
+  }
+  def initialGlobalLogging(file: File): GlobalLogging = initialGlobalLogging(Option(file))
+  @deprecated("use version that takes file argument", "1.4.0")
+  def initialGlobalLogging: GlobalLogging = initialGlobalLogging(None)
 
   def initialState(
       configuration: xsbti.AppConfiguration,
@@ -171,7 +176,7 @@ object StandardMain {
       commands,
       State.newHistory,
       initAttrs,
-      initialGlobalLogging,
+      initialGlobalLogging(BuildPaths.globalLoggingStandard(configuration.baseDirectory)),
       None,
       State.Continue
     )
diff --git a/scripted-sbt-redux/src/main/scala/sbt/scriptedtest/ScriptedTests.scala b/scripted-sbt-redux/src/main/scala/sbt/scriptedtest/ScriptedTests.scala
index db1041c44..e2d27bc1f 100644
--- a/scripted-sbt-redux/src/main/scala/sbt/scriptedtest/ScriptedTests.scala
+++ b/scripted-sbt-redux/src/main/scala/sbt/scriptedtest/ScriptedTests.scala
@@ -8,24 +8,26 @@
 package sbt
 package scriptedtest
 
-import java.io.{ File, FileNotFoundException }
+import java.io.{ File, FileNotFoundException, IOException }
 import java.net.SocketException
+import java.nio.file.Files
 import java.util.Properties
 import java.util.concurrent.ForkJoinPool
 
-import scala.collection.GenSeq
-import scala.collection.mutable
-import scala.collection.parallel.ForkJoinTaskSupport
-import scala.util.control.NonFatal
-import sbt.internal.scripted._
 import sbt.internal.io.Resources
+import sbt.internal.scripted._
 import sbt.internal.util.{ BufferedLogger, ConsoleOut, FullLogger, Util }
+import sbt.io.FileFilter._
 import sbt.io.syntax._
 import sbt.io.{ DirectoryFilter, HiddenFileFilter, IO }
-import sbt.io.FileFilter._
+import sbt.nio.file._
+import sbt.nio.file.syntax._
 import sbt.util.{ AbstractLogger, Level, Logger }
 
+import scala.collection.{ GenSeq, mutable }
+import scala.collection.parallel.ForkJoinTaskSupport
 import scala.util.Try
+import scala.util.control.NonFatal
 
 final class ScriptedTests(
     resourceBaseDirectory: File,
@@ -359,7 +361,17 @@ final class ScriptedTests(
 
           // Run the test and delete files (except global that holds local scala jars)
           val result = runOrHandleDisabled(label, tempTestDir, runTest, buffer)
-          IO.delete(tempTestDir.*("*" -- "global").get)
+          val view = FileTreeView.default
+          val base = tempTestDir.getCanonicalFile.toGlob
+          val global = base / "global"
+          val globalLogging = base / ** / "global-logging"
+          def recursiveFilter(glob: Glob): PathFilter = (glob: PathFilter) || glob / **
+          val keep: PathFilter = recursiveFilter(global) || recursiveFilter(globalLogging)
+          val toDelete = view.list(base / **, !keep).map(_._1).sorted.reverse
+          toDelete.foreach { p =>
+            try Files.deleteIfExists(p)
+            catch { case _: IOException => }
+          }
           result
       }
     }