That home defeat came to the league's other Italian side Treviso however, although Ulster gained some measure of revenge for that loss when they saw off Franco Smith's side 27-23 in Italy last weekend.
Aironi come into the game in decent form, having picked up the best win in the club's history at home to Munster a couple of weeks ago before denying Glasgow - one of Ulster's main play-off rivals - a bonus point last time out.
As a result, McLaughlin insists he is refusing to take the threat posed by Aironi lightly.
"Aironi have won two out of their three recent games against Irish opposition and with a full side at their disposal, will be searching for another big scalp," McLaughlin told the Irish Independent.
"We have lost only once at home this season and that was against Treviso. But we have learned a lot from then, and hopefully we can keep up our momentum."