Shortly after picking San Diego State cornerback Leon McFadden in the third round Friday night, Browns general manager Michael Lombardi said the Bess deal was done, pending the veteran passing a physical on Saturday. Bess signed a three-year extension with the Browns on Saturday, a league source told ESPN NFL Insider Adam Schefter.
To get Bess, the Browns traded their fourth-round pick (No. 104) and fifth-round pick (No. 164) to the Dolphins for Miami's fourth-round pick (No. 111) and a seventh-rounder (No. 217).
Bess spent five seasons with Miami, catching at least 50 passes each season. He had 61 receptions for 778 yards and one touchdown in 13 games last season. But he didn't fit into the Dolphins' long-term plans and became expendable when Miami acquired Mike Wallace and Brandon Gibson this offseason.
"Davone was a consummate professional on the field and a model representative of the team off it through all of his charitable activities," Dolphins general manager Jeff Ireland said. "He joined the Dolphins as an undrafted free agent and worked hard to become one of the team's most popular and respected players. We want to wish him the best of luck with the Browns."
In 2010, Bess set career highs in receptions (79), yards (820) and touchdowns (5).
Bess will give the Browns quality depth at a troublesome position the past few seasons. Bess can help mentor young receivers Josh Gordon and Greg Little, and he will likely compete to be Cleveland's third receiver with David Nelson, who was recently signed as a free agent.
The Browns did not have a second-round pick this year, forfeiting it when they selected Gordon in the second round of last summer's supplemental draft.
Miami had discussions with several teams besides the Browns about Bess, including the Arizona Cardinals, San Francisco 49ers, St. Louis Rams, Minnesota Vikings and New York Jets, according to the Miami Herald.
Bess is scheduled to make $2.6 million in base salary in 2013. He will be an unrestricted free agent in 2014.
Information from The Associated Press and ESPN NFL Insider Adam Schefter was used in this report.