Maybe you want to be more specific about your need. You might want to create a module for the code contained in your perl2.cgi file. Something like that (untested):

MyModule.pm:

package MyModule;

sub something {
    my ($param) = @_;
    # do something here
}

1;
[download]

perl1.cgi:

use MyModule;

use CGI;

# process something here...
my $result = process_something_here();

MyModule::something($result);
[download]

perl2.cgi

use MyModule;

use CGI;

# process other thing here...
my $result = process_other_thing_here();

MyModule::something($result);
[download]

Maybe you have to think about your problem. Maybe you want to share a specific part of your perl2.cgi file. If you want that, create a module (perlmodlib) and share that. It is better than glueing a lot of CGI's together.

Hope that helps.