Champions League rivals Atalanta and Napoli go head-to-head on Sunday before the Bergamo side host Real Madrid in this year's elite European tournament.
Inter committed more players forward as the match wore on, but the pressure was soaked up by the home defence as the visitors finished the match without scoring for the seventh successive trip to Juventus in all competitions.
Inter, missing top-scorer Romelu Lukaku through suspension, should have equalised 11 minutes after half-time, but Alexis Sanchez's shot was brilliantly cleared off the line by Merih Demiral.
It was a joyful end of the season for their coach Julen Lopetegui, who won his first trophy as coach at senior level after a torrid period which saw him sacked by Spain and Real Madrid.