The advantage was short-lived, though, as Luuk de Jong‘s bullet header in the 12th minute brought Sevilla level only for the Netherlands international to head home from an Ever Banega free kick a little over 20 minutes later to leave Inter trailing 2-1.
A rip-roaring first half ended with Lucas Ocampos shaving the bar with a header as both sides surged forward in relentless end-to-end action and headed to the dressing room at half-time locked in a 2-2 draw.
The scoring pace slowed in the second half and Lukaku saw a golden chance to put Inter back in front from a breakaway in the 65th minute denied by an onrushing Bono to keep the score level.
Carlos then went from villain to hero in the 74th minute when his overhead kick following a set piece took a deflection off of Lukaku and wound up in the back of the net to give Sevilla a 3-2 lead.
It was a joyful end of the season for Sevilla 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.