The White House billed the meeting as one to "discuss shared efforts to end the nullification of federal law and restore community safety.”
DACA has protected some 700,000 people who were brought to the U.S. illegally as children or came with families that overstayed visas.
The Trump administration announced last week that adults caught crossing the border illegally will be prosecuted, and families will be separated.
The council voted unanimously to support a federal lawsuit against the state over SB 54, which limits how local law enforcement can cooperate with federal immigration authorities.
The crackdown on illegal entries by families will have an impact in places like Los Angeles, home to a large community of Central Americans where many aim to settle.
The administration says there has been a surge of illegal border crossings, especially by families. Immigrant advocates say the people are seeking asylum under international law.
California ICE arrests other than those occurring in the community went from 12,705 in fiscal year 2015 to 14,259 in fiscal year 2017.