"I thought we gave a good account," Lambert told reporters. "We looked comfortable. To come here to play a club like this and play the way we did you have to be satisfied.
"When you do get a chance you've got to score. 3-0 was a little bit harsh on us but I'm relatively pleased. I could not fault the lads.
"You don't need to be Einstein to look at the differences in resources. If you come away with your confidence still intact, that's half the battle."
Villa drop down to sixth in the Premier League table following the loss, with Manchester City next up.