Ronald Koeman believes Boro have what it takes to avoid relegation from the Premier League this season.
The Everton boss, speaking after his side's 0-0 draw with the Teessiders on Saturday, says Boro showed the qualities needed to survive.
"[Boro] showed some great defensive organisation again today," he told the Gazette in the game's post-match news conference.
"I think it was a fair result for both teams, the weather conditions were tough to play in and it's difficult to create a lot of chances against Boro.
"In my opinion, they are a strong team - strong enough to keep their position in the Premier League."
Meanwhile, Everton stopper Joel Robles was full of praise for compatriot Victor Valdes in the wake of Saturday's meeting.
Both keepers were in fine form, Valdes making a string of saves before Robles acrobatically denied Rudy Gestede in the game's dying embers.
"For me, Victor Valdes is the best keeper in the Premier League and he made some crucial saves today so I'm happy for him," Robles told the Liverpool Echo.
Valdes, who is reportedly in the frame for an international recall, was named among a string of Team of the Week selections including Match of the Day magazine and Gazzetta Dello Sport for his performance.