The US conducted the military action jointly with Britain and France in response to alleged chemical weapons use by the government of Syrian President Bashar al-Assad.
After the meeting with Pence, Canada's leader Justin Trudeau said the "positive momentum" included the thorny issue of USA demands around automobile production.
At the same time, he warned that the US was prepared to "sustain this effort if necessary", though he expressed hopes that the combination of strikes and condemnation from countries like Canada would see Syria abandon such weapons. The conference brought together leaders of more than 30 countries.
Pence said the US, Britain and France "delivered a clear and unambiguous message to the Syrian regime".
Pence was in Lima on behalf of U.S. President Donald Trump, who opted to stay home to oversee Friday's military strikes against Syria.
Malaysia says 'No' to United States renegotiation
New Zealand Prime Minister Jacinda Ardern said the 11 nations "fought hard to get the final agreement that we have now before us". The actions of the Administration will provide USA agriculture and food producers with access to markets worth billions in trade.
Shortly before Trump's address to the nation Friday night, Pence was whisked away from the summit in his motorcade so he could return to his hotel to inform congressional leaders of the pending missile strikes. He learned only Tuesday that he would be attending in Trump's place so the president could manage the US response to Syria.
Pence said they simply had a difference of opinion and some issues were "set aside, for a later date".
A new North American free trade deal appeared closer to reality on Saturday, after U.S. Vice-President Mike Pence became the latest Trump administration official to suggest an agreement could be reached within a matter of weeks. Maduro has been barred from the summit over his plans to hold a presidential election that the opposition is boycotting and that many foreign governments consider a sham.
Peru's President Martin Vizcarra, Colombia's President Juan Manuel Santos, Chile's President Sebastian Pinera, Mexico's President Enrique Pena Nieto and Canada's Prime Minister Justin Trudeau meet during the VIII Summit of the Americas in Lima April 14, 2018.
Setting wage minimum wage thresholds for the auto industry could benefit the United States and Canada, whose trade unions say that lower Mexican pay has prompted manufacturing capacity to move south of the Rio Grande.