Calderon attended the Sunday concert with his wife and his 10-year-old daughter.
The bespectacled leader, dressed in a blue sport coat and gray slacks, spoke briefly to the rock diva - known for her sexy, belly dancing moves - minutes before she sang to 50,000 fans. There were no reports of what the Calderon said to her.
"Thanks for giving me this opportunity to return to this country, which I feel like is my own," Shakira was quoted as saying in Monday's Reforma newspaper, which featured a picture of her and Calderon sitting together on its front page.
"We should use shock therapy to sober up the Americans. In this case, the Americans will speak about the need to resume dialogue. There is no other option"
The United States is concerned about the current crisis in the relations with Russia and suggests returning to reasonable policies to avoid a nuclear war