The cross-rotunda stalemate that caused a meltdown of the Florida Legislature's recent redistricting special session appeared slightly less intractable Tuesday, as lawyers for the feuding Republican leaders of the House and Senate suggested the chambers might agree to a second special session aimed at bridging their differences.

"The House is certainly willing to continue to engage with the Senate and see if there's a way to come up with an enacted map," House General Counsel George Meros told Leon County Circuit Court Judge Terry Lewis during a high-profile hearing.

With the inability of the two chambers to agree on new Congressional district boundaries -- a task assigned to the Legislature when the Florida Supreme Court struck down the current boundaries -- the redistricting process is in jeopardy of being taken over by the court system. House and Senate Republicans are almost universally united in their outrage at the high court for effectively ordering the map to be re-drawn, a sentiment that is serving as a powerful motivator.

"We could have all just come in here and said, 'look, we're catching our breath, we didn't get it done last week, but we're going to come back and give it another try'. That wasn't said today; it was represented that there was an opportunity or an interest on the part of the House, and hopefully we can still do that," said Sen. Bill Galvano (R-Bradenton), the Senate's redistricting committee chairman.

Galvano suggested another special legislative session could take place "sooner rather than later," inferring that lawmakers are recovering from the dysfunction that gripped the end of the most recent session and are eager to find a compromise before the October deadline set by the Supreme Court.