diff --git a/cibuildwheel/util.py b/cibuildwheel/util.py
index f0062e25..bfc54d5a 100644
--- a/cibuildwheel/util.py
+++ b/cibuildwheel/util.py
@@ -1,4 +1,6 @@
+import fnmatch
 import functools
+import itertools
 import os
 import platform as platform_module
 import re
@@ -7,11 +9,11 @@ import sys
 import textwrap
 import urllib.request
 from enum import Enum
-from fnmatch import fnmatch
 from pathlib import Path
 from time import sleep
 from typing import Dict, List, NamedTuple, Optional, Set
 
+import bracex
 import certifi
 import toml
 
@@ -61,9 +63,12 @@ class BuildSelector:
         self.skip_patterns = skip_config.split()
 
     def __call__(self, build_id: str) -> bool:
-        def match_any(patterns: List[str]) -> bool:
-            return any(fnmatch(build_id, pattern) for pattern in patterns)
-        return match_any(self.build_patterns) and not match_any(self.skip_patterns)
+        build_patterns = itertools.chain.from_iterable(bracex.expand(p) for p in self.build_patterns)
+        skip_patterns = itertools.chain.from_iterable(bracex.expand(p) for p in self.skip_patterns)
+
+        build: bool = any(fnmatch.fnmatch(build_id, pat) for pat in build_patterns)
+        skip: bool = any(fnmatch.fnmatch(build_id, pat) for pat in skip_patterns)
+        return build and not skip
 
     def __repr__(self) -> str:
         if not self.skip_patterns:
diff --git a/docs/options.md b/docs/options.md
index 7b2398a7..a65a5796 100644
--- a/docs/options.md
+++ b/docs/options.md
@@ -75,7 +75,7 @@ Space-separated list of builds to build and skip. Each build has an identifier l
 
 When both options are specified, both conditions are applied and only builds with a tag that matches `CIBW_BUILD` and does not match `CIBW_SKIP` will be built.
 
-When setting the options, you can use shell-style globbing syntax (as per [`fnmatch`](https://docs.python.org/3/library/fnmatch.html)). All the build identifiers supported by cibuildwheel are shown below:
+When setting the options, you can use shell-style globbing syntax, as per [`fnmatch`](https://docs.python.org/3/library/fnmatch.html) with the addition of curly bracket syntax `{option1,option2}`, provided by [`bracex`](https://pypi.org/project/bracex/). All the build identifiers supported by cibuildwheel are shown below:
 
 <div class="build-id-table-marker"></div>
 
@@ -89,7 +89,7 @@ When setting the options, you can use shell-style globbing syntax (as per [`fnma
 | Python 3.9      | cp39-macosx_x86_64  | cp39-manylinux_x86_64  | cp39-manylinux_i686  | cp39-win_amd64  | cp39-win32     | cp39-manylinux_aarch64 | cp39-manylinux_ppc64le | cp39-manylinux_s390x |
 | PyPy 2.7 v7.3.3 | pp27-macosx_x86_64  | pp27-manylinux_x86_64  |                      |                 | pp27-win32     |                        |                        |                      |
 | PyPy 3.6 v7.3.3 | pp36-macosx_x86_64  | pp36-manylinux_x86_64  |                      |                 | pp36-win32     |                        |                        |                      |
-| PyPy 3.7 (beta) v7.3.3 | pp37-macosx_x86_64  | pp37-manylinux_x86_64  |                      |                 | pp37-win32     |                        |                        |                      |
+| PyPy 3.7 (beta) v7.3.3 | pp37-macosx_x86_64  | pp37-manylinux_x86_64  |               |                 | pp37-win32     |                        |                        |                      |
 
 
 The list of supported and currently selected build identifiers can also be retrieved by passing the `--print-build-identifiers` flag to `cibuildwheel`.
@@ -124,12 +124,12 @@ CIBW_SKIP: cp27-* cp35-*
 # Skip Python 3.6 on Linux
 CIBW_SKIP: cp36-manylinux*
 
-# Only build on Python 3 and skip 32-bit builds
-CIBW_BUILD: cp3?-*
+# Only build on Python 3 (ready for 3.10 when it comes) and skip 32-bit builds
+CIBW_BUILD: {cp,pp}3*-*
 CIBW_SKIP: "*-win32 *-manylinux_i686"
 
 # Only build PyPy and CPython 3
-CIBW_BUILD: pp* cp3?-*
+CIBW_BUILD: pp* cp3*-*
 
 # Disable building PyPy wheels on all platforms
 CIBW_SKIP: pp*
diff --git a/setup.cfg b/setup.cfg
index 2220ab45..da6fe65b 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -31,6 +31,7 @@ install_requires =
     bashlex!=0.13
     toml
     certifi
+    bracex
     typing_extensions; python_version < '3.8'
     importlib_resources>=1.4; python_version < '3.9'
 
@@ -119,6 +120,9 @@ ignore_missing_imports = True
 [mypy-toml.*]
 ignore_missing_imports = True
 
+[mypy-bracex.*]
+ignore_missing_imports = True
+
 [tool:isort]
 profile=black
 multi_line_output=3
diff --git a/unit_test/build_selector_test.py b/unit_test/build_selector_test.py
index 8737ee6b..6e00fc76 100644
--- a/unit_test/build_selector_test.py
+++ b/unit_test/build_selector_test.py
@@ -59,3 +59,13 @@ def test_build_and_skip():
     assert not build_selector('cp27-win_amd64')
     assert build_selector('cp36-win_amd64')
     assert not build_selector('cp37-win_amd64')
+
+
+def test_build_braces():
+    build_selector = BuildSelector(build_config="cp{36,37}*", skip_config="")
+
+    assert not build_selector('cp27-manylinux1_x86_64')
+    assert build_selector('cp36-manylinux1_x86_64')
+    assert build_selector('cp37-manylinux1_x86_64')
+    assert not build_selector('cp38-manylinux1_x86_64')
+    assert not build_selector('cp39-manylinux1_x86_64')