Trudeau is due to address Parliament at its plenary in Strasbourg on Thursday morning - the first ever visit by a Canadian Prime Minister to the European Parliament.
The showpiece speech will come a day after MEPs vote on the EU-Canada comprehensive economic trade agreement (CETA), a landmark trade deal between the two parties.
But Greens/EFA co-Chair Philippe Lamberts has criticised the Canadian premier for declining to participate in a debate on CETA with MEPs.
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Trudeau has said that he not allow a round of comments from political group leaders, including Lamberts, after his speech in Strasbourg.
Speaking at a news conference in Strasbourg on Tuesday, Lamberts, a Belgian MEP, said, "So, Mr Nice Guy does not accept to speak with MEPs who may choose to disagree or contradict him?
"This, to me, shows a certain way of doing politics. It suggests he is more interested in image than content."
His criticism comes ahead of a keenly awaited vote on CETA on Wednesday.
Ahead of the vote, Lamberts sent a letter to Trudeau which said, "We believe we should and we can cooperate to shape globalisation in a way that will eradicate poverty, solve the climate crisis, pursue innovation and inclusion and safeguard our democracies."
It went on, "But all of this won't make us vote in favour of CETA."
Lamberts wrote, "Obviously, we cannot do the CETA negotiations all over again, so we can but state that the agreement is plagued with considerable faults that could have been avoided if things were done differently from the beginning.
"As European Greens, are we going to say yes to CETA because there is no other option? No. We want to clearly state that some old thinking on trade needs to be eradicated still."
Addressing the same news conference, Greens co-Chair Ska Keller said that despite some opposition from MEPs, she now expects the deal will win the backing of a majority of MEPs this week.
The German deputy told reporters, "We do not oppose trade deals but we oppose bad trade deals and we have reservations about this."
A spokesperson for the left wing GUE/NGL group said, "If the European Parliament does not reject this harmful agreement this week, the national parliaments, the people through referendums or European courts will do it later.
"The election of Donald Trump in the United States makes it even more urgent to oppose CETA. The power of the multinationals needs curbing now more than ever."