California Gov. Jerry Brown on Tuesday said his state is open to providing additional shelter for migrant children but urged the U.S. to find a long-term solution to the border crisis.

"I would do everything I could to make sure California will do its part to shelter any young children that are in need of protection," Brown said after meeting with more than a dozen Central American religious leaders to discuss the influx of unaccompanied Central American minors illegally crossing into the United States.

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Brown, who's on a three-day visit to Mexico, said the United States could stem the flow of migrants by investing in development programs in Central America.

"The United States government is spending $20 billion on the border, and a fraction of that invested in other problems in Central America might create a lot more security," he said.

On Wednesday, Brown is expected to end his trip by signing a trade agreement with Mexico, California's largest export market.