ST. PAUL — Gov. Mark Dayton and legislative leaders on Friday penciled in a special session for late August to revive a tax bill and hundreds of millions of dollars in public construction projects, but it’s not a done deal yet.

Minnesota’s top politicians have struggled to hammer out the terms of an overtime session since the Legislature adjourned in late May, leaving a $1 billion-plus public works package unfinished. Dayton added to the pile by vetoing a $260 million tax relief package, citing a wording error.

After on-and-off meetings yielded little progress for weeks, Dayton and the leaders from the Republican-controlled House and Democrat-majority Senate emerged from their latest private session Friday with a goal of calling lawmakers back to St. Paul in the third week of August. But in order to make that happen, they need to address lingering disagreements on the final size of the public construction bill and whether it will include funding for a light-rail train to Minneapolis suburbs — a project Republicans dislike.

“Where there’s a will, there’s a way. The will is there, I believe, to work these final details out,” Dayton said.

Republican House Speaker Kurt Daudt said negotiators have agreed to approve again the Legislature’s tax bill with few changes, aside from fixing a typo that prompted Dayton’s veto and restoring some funding for the state’s high school league. That bill would offer tax credits for college graduates with loan debt, tax cuts for working families and a property tax exemption for the planned Major League Soccer stadium in St. Paul.

In the days after he declined to sign that bill, Dayton told lawmakers he wouldn’t call a special session unless the Legislature kicked in extra money for Minnesota’s public colleges and universities and restore funding for some business subsidy programs. Facing slim odds of Republicans agreeing to more spending, Dayton said Friday he’d drop those requests.