Fabiano was signed by the Browns on Wednesday, Nate Ulrich of the Akron Beacon Journal reports.
Fabiano will serve as a replacement for Nick Harris (knee) and backup center JC Tretter. He's bounced around the NFL since his rookie season in 2016, and this will be his third stint with Cleveland.
The Browns waived Fabiano on Friday.
Fabiano was claimed off waivers by the Browns in May after being let go by the Colts. He spent the subsequent offseason and training camp with the team, but he was ultimately unable to earn a spot on their 53-man roster.
The Browns snagged Fabiano off waivers Tuesday.
Fabiano was released by the Colts on Monday, but it didn't take long for him to find a new landing spot. He will attempt to earn a 53-man roster spot as a reserve lineman in 2018.
Fabiano was waived by the Colts on Monday.
Fabiano appeared in five games for the Colts in 2017. His release opens a roster spot for undrafted tackle Jared Machorro.
The Colts promoted Fabiano to their 53-man roster Saturday.
Fabiano has spent time on the practice squads of the Patriots, Giants and Redskins this season before joining the Colts last week. The second-year center is expected to provide depth on the offensive line.
Fabiano signed a contract with the Browns on Wednesday, Nate Ulrich of the Akron-Beacon Journal reports.
Fabiano likely will serve as a backup guard for Cleveland. Don't expect him to see time unless an injury forces him into the lineup.