Representatives were at the bargaining table for several hours on Monday.
Bus, trolley and subway operators in Philadelphia have been working without a contract since last Thursday.
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Wage increases remain a sticking point.
Right now, however, SEPTA is reportedly not offering any increases.
Last week, the union said that if SEPTA fails to meet its demands, members "will be on the picket line by the end of the month."
That's about 4,500 people who could go on strike.
Meanwhile, SEPTA's suburban drivers union authorized a strike on Friday. Their contract expires on November 18.
SEPTA is not the only agency facing strikes around the city. AFSCME District Council 33, Philadelphia's largest union for city employees, is voting on whether to authorize a strike.
That union has been operating without a contract since the summer. Voting is set to end on November 13.
Action News was told that union leaders are in contact with one another, and a simultaneous strike may be possible.