Create a wrapper function (we'll call it wrapper) that returns true on success and false on failure. It might look like this, then:

sub wrapper {
   eval {
      ## do some stuff that might die
   };
   if ($@) {
      ## handle some error things, die if unrecoverable
      return 0;  # returns false if recoverable
   }
   return 1;     #returns true if we should retry
}
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To retry a few times before giving up, then, you may write:

use constant RETRIES => 3;
for (1..RETRIES) { last if wrapper() }
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In this way, you will try up to three times before the loop will exit. If you need more complexity, you might expand to something like:

use constant RETRIES => 3;
our $give_up = 0;
for (1..RETRIES) { 
   $give_up = 0;
   last if wrapper();
   $give_up = 1;
}
die ('Tried '.RETRIES.' times without success. Giving up.')
   if $give_up;
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This will set $give_up on each try in such a way that a sucessful run will result in $give_up == 0, while a failed run will result in $give_up == 1. We can then check that value to see if we gave up or no.