The Midlands club had a 3-1 lead with 30 minutes remaining against Everton on Saturday afternoon, but were pegged back as Marouane Fellaini struck twice late on
Two goals from Christian Benteke and a Gabriel Agbonlahor strike had given the Villans a 3-1 lead with just half an hour remaining at Goodison Park, with Victor Anichebe on the scoresheet for the hosts.
But the visitors were unable to secure what would have been just their fifth league win of the season as a Marouane Fellaini double earned the Toffees a draw - a comeback which the Scot bemoaned.
"I thought we played excellently," Lambert told reporters.
"Nobody gave us an absolute earthly [chance] coming here. But our form against Newcastle was excellent and I thought today we were very, very good.
"Everton will come at you really strong and Fellaini has done that a number of times since he's been there."
Villa remain 19th in the Premier League, two points adrift of safety, and Lambert insisted his side need to find a way to hold out in future games if they are to turn things around.
"The lads gave us everything," Lambert continued. "They blocked it and I can't praise them highly enough, but you know what is coming.
"I think you have to see the game through. I think our form certainly looks good."