diff --git a/src/Command/InstallExtensionsForProjectCommand.php b/src/Command/InstallExtensionsForProjectCommand.php
index d1e1063..0d0303a 100644
--- a/src/Command/InstallExtensionsForProjectCommand.php
+++ b/src/Command/InstallExtensionsForProjectCommand.php
@@ -45,6 +45,7 @@
 use function is_string;
 use function realpath;
 use function sprintf;
+use function strtolower;
 
 use const PHP_EOL;
 
@@ -152,7 +153,7 @@ public function execute(InputInterface $input, OutputInterface $output): int
             ),
         );
 
-        $phpEnabledExtensions = array_keys($targetPlatform->phpBinaryPath->extensions());
+        $phpEnabledExtensions = array_map('strtolower', array_keys($targetPlatform->phpBinaryPath->extensions()));
         $installedPiePackages = $this->installedPiePackages->allPiePackages($pieComposer);
 
         $anyErrorsHappened = false;
@@ -177,7 +178,7 @@ function (Link $link) use ($pieComposer, $phpEnabledExtensions, $installedPiePac
                         );
                 }
 
-                if (in_array($extension->name(), $phpEnabledExtensions)) {
+                if (in_array(strtolower($extension->name()), $phpEnabledExtensions)) {
                     if ($piePackageVersion !== null && $piePackageVersionMatchesLinkConstraint === false) {
                         $this->io->write(sprintf(
                             '%s: <comment>%s:%s</comment> %s Version %s is installed, but does not meet the version requirement %s',
diff --git a/src/Command/ShowCommand.php b/src/Command/ShowCommand.php
index 2218bb6..77f88b9 100644
--- a/src/Command/ShowCommand.php
+++ b/src/Command/ShowCommand.php
@@ -125,6 +125,11 @@ function (string $version, string $phpExtensionName) use ($composer, $rootPackag
                 $packageRequirement   = $rootPackageRequires[$piePackage->name()]->getPrettyConstraint();
 
                 try {
+                    // Don't check for updates for bundled PHP extensions
+                    if ($piePackage->isBundledPhpExtension()) {
+                        throw new BundledPhpExtensionRefusal();
+                    }
+
                     Assert::stringNotEmpty($packageName);
                     Assert::stringNotEmpty($packageRequirement);
 
diff --git a/src/Platform/InstalledPiePackages.php b/src/Platform/InstalledPiePackages.php
index 3473d6b..efc2353 100644
--- a/src/Platform/InstalledPiePackages.php
+++ b/src/Platform/InstalledPiePackages.php
@@ -48,6 +48,11 @@ static function (BasePackage $basePackage): bool {
             /** @return non-empty-string */
                 static function (Package $package): string {
                     return match ($package->extensionName()->name()) {
+                        'core' => 'Core',
+                        'spl' => 'SPL',
+                        'phar' => 'Phar',
+                        'reflection' => 'Reflection',
+                        'pdo' => 'PDO',
                         'ffi' => 'FFI',
                         'opcache' => 'Zend OPcache',
                         'simplexml' => 'SimpleXML',
diff --git a/test/install-bundled-php-exts.php b/test/install-bundled-php-exts.php
index 7e6e674..2913525 100644
--- a/test/install-bundled-php-exts.php
+++ b/test/install-bundled-php-exts.php
@@ -61,6 +61,7 @@ static function (PackageInterface $package) use ($phpVersionConstraint): bool {
     }
 }
 
+echo Process::run([$phpBinaryPath->phpBinaryPath, '-m'], timeout: 60);
 echo Process::run(['bin/pie', 'show', '--with-php-config=' . $phpBinaryPath->phpConfigPath()], timeout: 60);
 
 if ($anyFailures) {
diff --git a/test/integration/Command/InstallExtensionsForProjectCommandTest.php b/test/integration/Command/InstallExtensionsForProjectCommandTest.php
index 0952295..7e1b767 100644
--- a/test/integration/Command/InstallExtensionsForProjectCommandTest.php
+++ b/test/integration/Command/InstallExtensionsForProjectCommandTest.php
@@ -99,6 +99,7 @@ public function testInstallingExtensionsForPhpProject(): void
         $rootPackage = new RootPackage('my/project', '1.2.3.0', '1.2.3');
         $rootPackage->setRequires([
             'ext-standard' => new Link('my/project', 'ext-standard', new Constraint('=', '*'), Link::TYPE_REQUIRE, '*'),
+            'ext-spl' => new Link('my/project', 'ext-spl', new Constraint('=', '*'), Link::TYPE_REQUIRE, '*'),
             'ext-foobar' => new Link('my/project', 'ext-foobar', new MultiConstraint([
                 new Constraint('>=', '1.2.0.0-dev'),
                 new Constraint('<', '2.0.0.0-dev'),
@@ -137,6 +138,7 @@ public function testInstallingExtensionsForPhpProject(): void
         $this->commandTester->assertCommandIsSuccessful($outputString);
         self::assertStringContainsString('Checking extensions for your project my/project', $outputString);
         self::assertStringContainsString('requires: ext-standard:* ✅ Already installed', $outputString);
+        self::assertStringContainsString('requires: ext-spl:* ✅ Already installed', $outputString);
         self::assertStringContainsString('requires: ext-foobar:^1.2 🚫 Missing', $outputString);
     }