The experienced defender has accused the Dane of play-acting, while praising Christian Abbiati and Mario Balotelli for their fine display against the Dutch champions
The former Denmark international was the victim of a reckless challenge by the Rossoneri skipper midway through the first half of a 0-0 draw that saw the hosts progress to the last 16 at the expense of the Dutch champions.
However, Bonera feels Poulsen exaggerated the impact of Montolivo's studs on his right ankle and actively contributed to the dismissal of Milan midfielder.
"We did not go out there to draw, but we were forced to defend after Montolivo was sent off. The red card was a bit excessive, but everyone knows how Poulsen behaves," the defender told the official Milan website.
Bonera then went on to voice his delight with Milan's progression to the knockout stage and singled out Christian Abbiati and Mario Balotelli as the Rossoneri's key men.
"It was a hard-fought draw but we qualified. We did not give much away when we went down to 10 men," the centre-half argued.
"I have to congratulate Abbiati and Balotelli, who both played really well. But now we have two difficult [Serie A] matches against Roma and Inter."
The draw for the Champions League round of 16 takes place in Nyon on Monday, with Milan set to face the Giallorossi later that evening before taking on their city rivals in the Derby della Madonnina six days later.