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Midfielder Reijnders scored two minutes before half-time in the Serie A contest when he nodded home after Alvaro Morata's header was blocked.

Monza had wasted some decent openings before Milan went ahead, with Mike Maignan making a fine save to deny Pedro Pereira while Dany Mota had a goal disallowed.

Reijnders almost made it 2-0 after the break, but his deflected effort was kept out by Stefano Turati.

Monza goalkeeper Turati made another stop later on, this time to deny Rafael Leao, who scuffed his finish at the end of a mazy run.

Milan, which had 18 shots and accumulated 2.5 expected goals (xG), was not made to pay for its profligacy, though, as it got back on track after the loss against Napoli, but the Rossoneri are seventh, eight behind the Serie A leader.

While Monza dominated the first half, it could not find the margins to score. Milan rallied in the second half, with boss Paulo Fonseca acknowledging that the first-half performance was below par.

"I was concerned in the first half as we weren’t aggressive enough and didn’t win enough individual duels, but I don’t really remember Monza's chances in the second half," Fonseca said.

"We adjusted what we needed to do during the half-time break and it was a totally different game after that."

Substitute Leao entered the match late and came close to scoring twice in the closing stages.

"He came on well, it is important to have this reaction from Rafa and that's what I want to see. I think he is ready to play in Madrid [against Real Madrid in the UEFA Champions League next week]," Fonseca said.