Mujica said he and Clinton discussed various issues including a trade and investment framework agreement between the two sides.
Mujica told Clinton that he had "good will" to contribute to "easing the inevitable contradictions that history imposes on Latin America."
"We will be ready - as long as we are summoned - to contribute in the path of the peace, where the efforts are not enough," Mujica said.
Clinton arrived in Uruguay on Monday to attend the inauguration of Mujica.
"We join you to celebrate the strength of the Uruguayan democracy and the progress that has boosted here and in all the region," she said.
"We are going to continue working together," Clinton added.
Published by i On Global Trends - Mike Hitchen Online - news, opinion, analysis
See also Sydney Irresistible and for personal comment, Mike Hitchen Unleashed
Putting principles before profits
See also Sydney Irresistible and for personal comment, Mike Hitchen Unleashed
Putting principles before profits