I am using a custom die handler for unhandled fatal errors in my script. You can check with $^S whether you are inside an eval block. Anonymous Monk already mentioned $^S in a post above, nevertheless i decided to follow up with a simplified concrete example of what i am using: 
use strict;
use warnings;
use Carp;

local $SIG{__DIE__} = sub {
        return if ($^S);# only trigger if not inside an eval block

        print STDERR "global die handler: ".Carp::longmess(@_);
        exit 1;
};

eval {
        die "die_inside_eval!\n";
};
if ($@) {
        print "caught eval exception: $@\n";
}
die "die_outside_eval!\n";

[download]
output 
caught eval exception: die_inside_eval!

global die handler: die_outside_eval!
 at dietest.pl line 19.

[download]

In reply to Re: Custom SIG DIE handler that isn't executed in evals by rminner
in thread Custom SIG DIE handler that isn't executed in evals by tunafish

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