An injury-time goal from substitute Jon Dahl Tomasson put AC Milan through to the Champions League semi-finals after a dramatic 3-2 win over Ajax Amsterdam in their quarter-final, second-leg match on Wednesday.

Ajax had pulled the score back to 2-2 through South African Steven Pienaar 12 minutes from time and were set to go through on away goals after the first leg ended goalless in Amsterdam.

Carlo Ancelotti's side will now face city rivals Inter Milan in their two-legged semi-final on May 7 and May 13.

Milan took the lead on the half hour when Rui Costa fed Andriy Shevchenko on the right and the Ukrainian's deflected cross was headed in by Filippo Inzaghi at the back post.

Ajax brought on Finnish striker Jari Litmanen at the break and it was the former Barcelona striker who brought Ronald Koeman's side level in the 63rd minute, slotting home from close range after a low cross from Andy van der Meyde.

Within two minutes, though, Milan had restored their lead as Inzaghi turned sharply and burst into the area. His attempted cross struck a sliding Petri Pasanen and looped up to the back post where Shevchenko headed home.

Ajax equalised again 15 minutes later when Van der Meyde whipped in a cross from the left, which was knocked down by Zlatan Ibrahimovic and Pienaar scooped the ball in at the second attempt.

But in the final moments Massimo Ambrosini headed the ball into the Ajax area, Inzaghi poked the ball over advancing goalkeeper Bogdan Lobont and Danish substitute Tomasson helped the ball over the line.