Atalanta's push for a Champions League spot received a boost as the win saw them swap positions with third-placed Inter Milan. The latter team could reclaim their spot should they beat Chievo on Monday.
Barrow put the hosts in the driving seat with a goal in the 46th minute. Timothy Castagne doubled their lead in the 53rd minute, with Goran Pandev's late goal a mere consolation for the visiting team.
Barrow now has five goals this season, with four of those strikes coming in the Europa League.