Talks again broke off between the NFL and NFLPA late Sunday night, but the league moved the start of free agency back to 12:01 a.m. Thursday.
NFL owners will meet Tuesday in Dallas to discuss the NFLPA's latest offer.
Two teams struck just before free agency hit to re-sign their star running backs.
Seattle inked Shaun Alexander to a $62 million deal that will pay the reigning NFL MVP over $15 million in bonuses and salary in 2006.
Green Bay brought back Ahman Green for a one-year $5 million deal.
The Steelers did restructure running back Duce Staley's deal at a savings of $1.2 million. Instead of earning a base salary of $2.5 million in 2006, Staley will now earn $670,000. He will instead get the $1.83 million in signing bonus, lowing his cap hit in 2006 from $3.67 million to $2.34 million.
Also last week, the team officially placed running back Jerome Bettis on the reserve/retired list, thus clearing his $5.35 million salary off their books.