House Judiciary Chairman Tim Miley, D-Harrison, previously told the Daily Mail all three delegates fought for the magistrate pay bill.
Almost immediately after the House passed the magistrate bill, Prezioso said the Senate "didn't have an appetite for pay raises" and shelved the issue. The Senate eventually changed the bill so a lesser number of magistrates would receive higher pay, but the House balked.
Lawmakers are still trying to find common ground, Prezioso said Tuesday.
"We're just having attorneys right now giving us information so we can get this thing done and . . . what we're aiming for is equal pay for equal work. Taking care of the large counties that have large workloads, smaller counties that are on call 24-7," he said.
White said he hopes any bills placed on a special session agenda are "agreed to" measures. That means leaders in the House and Senate as well as the governor approve.
That could be a problem for the magistrate pay bill, Prezioso said.
"That thing started out as a political football on the House side (with a) party-line vote," he said. "I mean, we don't know how much of that issue will perpetuate into this magistrate bill."
Almost all of the 46 Republicans in the House voted against the bill. House Minority Leader Tim Armstead, R-Kanawha, said Tuesday afternoon his caucus still did not favor giving out pay raises but they did support the TIF bill.
At that point he had not heard from Tomblin or House leadership about a special session or any bills to be taken up.
A bill that calls for more workers compensation funding for volunteer fire departments is also part of the special session discussion. Thompson sponsored the bill and said moments after the end of the regular session he still hoped to see it pass. Armstead said Tuesday he supports the bill.
Tomblin could call for a special session anytime. If and when that happens, White and Prezioso didn't think discussions would take very long.