Dunkin’ Donuts, the Canton-based coffee-and-baked-goods chain, said Wednesday that it has signed agreements that should increase its presence in Latin America by 125 new restaurants over the next decade.

Dunkin’s parent company, Dunkin’ Brands Inc., has been embarked on aggressive expansion since being purchased by a trio of private equity firms for $2.43 billion in 2006.

In a press release Wednesday, Dunkin’ Donuts said that new restaurants in Chile, Colombia, and Peru will result from agreements with three existing franchisee partners in Latin America.

Dunkin’ Donuts said it currently has more than 300 restaurants across Latin America, including more than 200 locations in Chile, Colombia and Peru, as well as locations in Ecuador, Honduras, and Panama. The chain said that the first Dunkin’ in Guatemala opened in May.

Together, Dunkin’ Donuts and ice cream sister-chain Baskin-Robbins have about 16,800 locations worldwide. (When Dunkin’ Brands was bought six years ago, it had a global total of about 12,000 locations.)

During 2012, the company said it expects to open a net total of between 550 and 650 new Dunkin’ Donuts and Baskin-Robbins restaurants, including between 260 and 280 new Dunkin’ Donuts in the United States.

For 2011, Dunkin’ Donuts’ restaurants reported system-wide sales of about $6.4 billion.