Dwelley logged eight of the Falcons' 73 snaps on offense in Sunday's 34-14 loss to the Seahawks.
Dwelley made the Falcons' initial 53-man roster Tuesday, Terrin Waack of the Falcons' official site reports.
The Falcons signed Dwelley (ankle) on Tuesday, Adam Schefter of ESPN reports.
The 49ers placed Dwelley (ankle) to the injured reserve Saturday.
Dwelley (ankle) will not play in Sunday's matchp with the Commanders.
Dwelley (ankle) has been ruled out for Monday's game against the Ravens, Cam Inman of The Mercury News reports.
Dwelley (ankle) has been ruled out ahead of Sunday's game against the Seahawks, Matt Barrows of The Athletic reports.
Dwelley has a high right ankle sprain and is expected to miss time, Nick Wagoner of ESPN.com reports.
Dwelley re-signed with the 49ers on Monday, Matt Maiocco of NBC Sports Bay Area reports.
Dwelley (coach's decision) is inactive Sunday against the Cardinals, Matt Maiocco of NBC Sports Bay Area reports.