According to The London Evening Standard, Bournemouth and Southampton wanted to secure the services of the 27-year-old.
While the chances of Everton, Newcastle, Bournemouth and Southampton of signing Welbeck are gone for the summer as the Premier League transfer window has closed, teams from outside the English top flight could still sign him.
However, Arsenal manager Unai Emery has suggested that Welbeck will stay at the Emirates Stadium, which could open the door for Everton and Newcastle to make moves for him in the January transfer window.
Emery told Football365.com: “Yesterday, the window closed here in the Premier League. Today, we had a meeting with the players to close all the possibilities to bring more players.
“We only have three players – Carl Jenkinson, David Ospina and Joel Campbell – with the possibility to leave.
“But the other players are with us and we are going to work in the Emirates the day before the match with all the players.”
With Welbeck’s contract running out next summer, Arsenal could be tempted to cash in on the former United forward in the January transfer window instead of losing him on a free at the end of the season.
Everton and Newcastle may not need another striker as the season progresses, but the Toffees and the Magpies would be wise to keep tabs on Welbeck, as he could become available in January.