A brace from Fredy Guarin and a late goal from Marco Benassi saw Inter win 3-0 at Cluj to complete a 5-0 aggregate win, while Spurs drew 1-1 at Lyon to advance 3-2 on aggregate.
Inter and Spurs shared two memorable games in the Champions League group stages of the 2010-11 season and Stramaccioni echoed his counterpart Andre Villas-Boas' enthusiastic post-match comments ahead of next month's two-legged encounter.
He told inter.it: "They're a top side, at Champions League level, but we're Inter and we'll show what we're about."
Eleven goals were scored in the last two games between the sides, with Gareth Bale scoring a memorable hat-trick in a 4-3 Inter win at the San Siro before Spurs responded with a 3-1 victory at White Hart Lane.
Stramaccioni's immediate thoughts turn to the Milan derby on Sunday night and the 37-year-old feels Thursday's creditable victory in Cluj provided a timely confidence boost during a poor run of form in Serie A.
He added: "Aside from the knocks, my team gave an excellent response by winning again on the road - something we'd not done in a while - and winning well.
"Was there a positive impact? Let's say we were angry and smarting after the (4-1) defeat against Fiorentina. We knew that wasn't the real us in Florence.
"On a negative note, we lost (defender Andrea) Ranocchia to injury. I still haven't got any news on how he is, but this is something we could have done without, so we're quite unfortunate."