But the Democratic governor offered no details Wednesday on what the state might do or what actions he might take.
Brown met with Mexico's secretary of foreign affairs at a lunch in Sacramento ahead of Brown's four-day trade mission to the neighboring country next week.
Both say they look forward to extending California's ties to Mexico by increasing trade, university exchanges and fighting climate change.
Among other goals, Brown says he wants to "deal with some issues on the refugees that are coming across the border." He added that "a lot of mutual investment" is needed in the long term to help Central American countries.