ATLANTA — Just in time for a Super Bowl rematch with New England, the Atlanta Falcons felt the too-familiar anguish of blowing another big lead.

Reshad Jones intercepted a pass deflected by Cordrea Tankersley with 39 seconds remaining, clinching Miami’s come-from-behind 20-17 win Sunday.

The Falcons led 17-0 at halftime before Miami began its comeback with Jay Cutler’s touchdown passes to Kenny Stills and Jarvis Landry in the third quarter.

Cody Parkey tied the game with a 49-yard field goal, then kicked a 38-yarder with 2:30 remaining to give the Dolphins the lead.

Cutler hopes the second-half comeback will provide a needed confidence boost for Miami’s offense. The Dolphins (3-2) had been relying on their stout defense, which delivered two sacks, two forced fumbles and the interception.

“The defense has been solid all year,” Cutler said.

“Offensively, we go out there and say this is an example of how it’s done, this is the feeling you should feel when it happens.

“You experience and you know it’s not just talk, you can make it happen.”

It was second straight home loss for the Falcons (3-2), who play at New England next Sunday.