A stunning display from Inter saw them beat Tottenham 4-1 on the night, but Emmanuel Adebayor's extra time goal ensured Spurs booked their place in the quarter-finals on away goals, with the game tied 4-4 on aggregate.
There was joy for another Serie A side, however, with Lazio making short work of Stuttgart - running out 3-1 winners and 5-1 victors over the course of the two legs.
Champions League holders Chelsea were not at their brilliant best, but still overturned a 1-0 deficit with a 3-1 win over Steaua Bucharest, thanks to goals from Juan Mata, John Terry and Fernando Torres.
Big-spending Anzhi Makhachkala crashed out at the hands of Newcastle, with Papiss Cisse's late strike enough to seal a 1-0 win and Rubin Kazan advanced to the last eight with a 2-0 victory over Levante, following a goalless draw in the first-leg of that tie.
Elsewhere, Fenerbahce made it through at the expense of Viktoria Plzen, Benfica ran out 4-2 aggregate winners over Bordeaux and Basel reached the quarter-finals despite a 1-0 defeat to Zenit St Petersburg.