diff --git a/CHANGELOG.md b/CHANGELOG.md
index f4c20e8..def6546 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,7 @@
 
 ## Unreleased
 
+- PyPy 2.7 and 3.6, version 7.3.2 are now available (Note: PyPy support is in beta) (#1081).
 
 ## v180 (2020-09-24)
 
diff --git a/bin/default_pythons b/bin/default_pythons
index 85f209a..b98efb7 100755
--- a/bin/default_pythons
+++ b/bin/default_pythons
@@ -12,5 +12,5 @@ LATEST_36="python-3.6.12"
 LATEST_35="python-3.5.10"
 LATEST_34="python-3.4.10"
 LATEST_27="python-2.7.18"
-LATEST_PYPY_36="pypy3.6-7.3.1"
-LATEST_PYPY_27="pypy2.7-7.3.1"
+LATEST_PYPY_36="pypy3.6-7.3.2"
+LATEST_PYPY_27="pypy2.7-7.3.2"
diff --git a/builds/runtimes/pypy2.7 b/builds/runtimes/pypy2.7
index 698aa17..c9cf1d0 100755
--- a/builds/runtimes/pypy2.7
+++ b/builds/runtimes/pypy2.7
@@ -13,11 +13,11 @@ dep_version=${dep_formula##*"/${dep_name}-"} # "subtract" our name from full ver
 dep_package=${dep_name}-v${dep_version} # it's always "pypy2-…"
 dep_dirname=${dep_package}-linux64
 dep_archive_name=${dep_dirname}.tar.bz2
-dep_url=https://bitbucket.org/pypy/pypy/downloads/${dep_archive_name}
+dep_url="https://downloads.python.org/pypy/${dep_archive_name}"
 
 echo "Building PyPy…"
 echo "${dep_url}"
 
-curl -L "${dep_url}" | tar jx -C "${OUT_PREFIX}" --strip-components 1 # extract to $OUT_PREFIX, drop the first directory level, which is the archive name
+curl -fL "${dep_url}" | tar jx -C "${OUT_PREFIX}" --strip-components 1 # extract to $OUT_PREFIX, drop the first directory level, which is the archive name
 
 ln "$OUT_PREFIX/bin/pypy" "$OUT_PREFIX/bin/python"
diff --git a/builds/runtimes/pypy2.7-7.3.2 b/builds/runtimes/pypy2.7-7.3.2
new file mode 100755
index 0000000..40761e9
--- /dev/null
+++ b/builds/runtimes/pypy2.7-7.3.2
@@ -0,0 +1,4 @@
+#!/usr/bin/env bash
+# Build Path: /app/.heroku/python/
+
+source $(dirname $0)/pypy2.7
diff --git a/builds/runtimes/pypy3.6 b/builds/runtimes/pypy3.6
index f24f806..d86925a 100755
--- a/builds/runtimes/pypy3.6
+++ b/builds/runtimes/pypy3.6
@@ -13,11 +13,11 @@ dep_version=${dep_formula##*"/${dep_name}-"} # "subtract" our name from full ver
 dep_package=${dep_name}${dep_version_prefix:-}-v${dep_version}${dep_version_suffix:-}
 dep_dirname=${dep_package}-linux64
 dep_archive_name=${dep_dirname}.tar.bz2
-dep_url=https://bitbucket.org/pypy/pypy/downloads/${dep_archive_name}
+dep_url="https://downloads.python.org/pypy/${dep_archive_name}"
 
 echo "Building PyPy3…"
 echo "${dep_url}"
 
-curl -L "${dep_url}" | tar jx -C "${OUT_PREFIX}" --strip-components 1 # extract to $OUT_PREFIX, drop the first directory level, which is the archive name
+curl -fL "${dep_url}" | tar jx -C "${OUT_PREFIX}" --strip-components 1 # extract to $OUT_PREFIX, drop the first directory level, which is the archive name
 
 ln "$OUT_PREFIX/bin/pypy3" "$OUT_PREFIX/bin/python"
diff --git a/builds/runtimes/pypy3.6-7.3.2 b/builds/runtimes/pypy3.6-7.3.2
new file mode 100755
index 0000000..e429be8
--- /dev/null
+++ b/builds/runtimes/pypy3.6-7.3.2
@@ -0,0 +1,4 @@
+#!/usr/bin/env bash
+# Build Path: /app/.heroku/python/
+
+source $(dirname $0)/pypy3.6
diff --git a/test/fixtures/pypy2_7/runtime.txt b/test/fixtures/pypy2_7/runtime.txt
index e3d29d3..e3930d8 100644
--- a/test/fixtures/pypy2_7/runtime.txt
+++ b/test/fixtures/pypy2_7/runtime.txt
@@ -1 +1 @@
-pypy2.7-7.3.1
+pypy2.7-7.3.2
diff --git a/test/fixtures/pypy3_6/runtime.txt b/test/fixtures/pypy3_6/runtime.txt
index af949aa..52a99c8 100644
--- a/test/fixtures/pypy3_6/runtime.txt
+++ b/test/fixtures/pypy3_6/runtime.txt
@@ -1 +1 @@
-pypy3.6-7.3.1
+pypy3.6-7.3.2