apache

<VirtualHost *>
        WSGIApplicationGroup %{GLOBAL}
        
        
        # Setup Python for the App1
        WSGIDaemonProcess app1 user=www-data group=www-data threads=5
        WSGIScriptAlias /app1 /var/www/app1/app1.wsgi
        <Directory /var/www/app1>
                Order deny,allow
                Allow from all
        </Directory>
        <Location /app1>
                WSGIProcessGroup app1
        </Location>
        
        
        # Setup Python for the App2
        WSGIDaemonProcess app2 user=www-data group=www-data threads=5
        WSGIScriptAlias /app2 /var/www/app2/app2.wsgi

        <Directory /var/www/app2>
                Order deny,allow
                Allow from all
        </Directory>
        <Location /app2>
                WSGIProcessGroup app2
        </Location>
</VirtualHost>

If HTTPS only and no other requirement for VirtualHosts, then maybe do away with VirtualHost.

        Listen 443

        ServerName mysite.dns.name

        # Add directives here to set up SSL certificate.

        SSLEngine On
        SSLCertificateFile mysite.crt
        SSLCertificateKeyFile mysite.key

        WSGIApplicationGroup %{GLOBAL}

        # Setup Python for the App1.

        WSGIDaemonProcess app1 threads=5

        WSGIScriptAlias /app1 /var/www/app1/app1.wsgi

        <Directory /var/www/app1>
                WSGIProcessGroup app1
                Order deny,allow
                Allow from all
        </Directory>

        # Setup Python for the App2.

        WSGIDaemonProcess app2 threads=5

        WSGIScriptAlias /app2 /var/www/app2/app2.wsgi

        <Directory /var/www/app2>
                WSGIProcessGroup app2
                Order deny,allow
                Allow from all
        </Directory>

No, I need SSL enabled, it is required. I cannot change the port configuration, nor add a new domain, nor add a new sub-domain. It needs to be on a shared hosting machine, per a client's security requirements. I've create a new Issue topic on the Google Groups for mod_wsgi. I'll add another comment when the issue is publicly viewable, approved, etc.

I have created an Issue here:
https://groups.google.com/forum/#!topic/modwsgi/ta87yyuD01Y