Why don't you rewrite your .pl script to a subroutine, and include into the caller xript? After then you can call the routine!!!

Like

#!/usr/bin/perl
# i'm the first script
require "secondscript.pl";

#do something here
# e.g. create the input for the second script
$output = &call_second_script_routine($input);

# voila!
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You will need some rewriting, but why not?

-- tune