Norway came looking for the shock win that would secure qualification but the visitors were ball-chasing from the outset.
But despite Pelle and Roberto Soriano both coming close early on, Norway broke the deadlock, scoring a goal 23 minutes into the match, when Alexander Banor Tettey volleyed low past Italian goalkeeper Gianluigi "Gigi" Buffon after a free kick from the left had been headed out into his path.
Italy did not equalize until well into the second half, with a goal from Alessandro Florenzi, only securing the match in the final minutes with a goal from Graziano Pellè.
"We've finished top of the group after giving it everything against Norway," Italian coach Antonio Conte told Rai television after the result. "I'm sorry for Norway, but that's football. I'm happy because we were unlucky to go a goal behind and we came back and did our job."
Haitam Aleesami, the Norway player whose bodged pass opened the way to Italy's equaliser apologised for bringing Norway's promising start to an end.