Rep. Bob Brady stopped by Transport Workers Union (TWU) Local 234 headquarters in Northern Liberties on Tuesday morning.
He met with the leadership in a closed door meeting.
Afterward, Brady said both sides are still working things through.
SEPTA officials say they're waiting for the union's response to the transit agency's final offer.
No meetings were held on Monday, and only brief meetings were held between the two sides on Sunday.
Despite fears of a strike, union President Willie Brown previously said workers would stay on the job and continue to negotiate. There has been no strike authorization vote so far.
Sources tell Action News the union wants a two-year deal with wage increases, no increase in workers' contributions to healthcare benefits and no changes to the pension system.
SEPTA is offering a pay increase of 2 percent the first year and 3 percent the second year, with a 1 percent increase in healthcare contributions.
In its 49-year history, SEPTA has had at least 12 strikes. Some have been long and bitter.
In 1995, frustrated SEPTA workers tied up traffic on the Schuylkill Expressway with a slow-moving, rolling roadblock.
That strike lasted 14 days. The record is a 108-day rail strike in 1983.
If SEPTA's unions strike, the following will STOP running:
- Broad Street Line
- Market Frankford Line
- Norristown High Speed Line
The Regional Rail lines and the LUCY bus will continue to operate.