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Draymen say they could be forced out of business by huge demurrage and detention bills.
Labor Secretary Thomas Perez met both parties accompanied by a mediator from the Federal Mediation and Conciliation Service who has been assisting in the talks since early January.
PMA neither loaded nor unloaded ships over the weekend, leaving yard and gate operations up to individual terminals.
Congress passed a 7-day extension to keep the department running while negotiations over immigration dispute continue.
Texas’s exports reached $289 billion and California topped $174.1 billion in export value for 2014.
Economy grew at 2.2% pace, government says.