The MTA and its largest union kept talking early today after the midnight deadline came and went without an agreement on a new labor contract.

Transit officials and the bosses at the Transport Workers Union Local 100 had agreed recently to extend the talks beyond the deadline without the dire consequences of past years — like the 2005 holiday-season strike that crippled the city.

Both sides were holed up at a Midtown hotel.

As The Post first reported, the MTA is playing hardball with the union.

In addition to no raises, transit officials are asking the union to agree to a host of cost-cutting measures, like a retooling of overtime rules and cutting vacation time.

Those demands weren’t sitting well with TWU President John Samuelsen, who told a cheering crowd that Gov. Cuomo and the MTA can take their deal and “shove it.”

“We’ll fight for a month, we’ll fight for two months, we’ll fight them until they relent and give us a fair contract,” he vowed.