David Weir's stunning volley levelled things up after Les Ferdinand's opener and the Toffees defended stoutly as we pushed on for a winner.
Smith said: "It was a difficult game and they had the territorial advantage throughout, but we defended well.
"There have been a few away games where we have played better and lost, so I am quite pleased with a point because we did not play as well as we can play.
"We have a small squad and we've got a few injuries, so this is a good result, and the fact we restricted them to few chances apart from at set plays is a credit to our players.
"League games are like cup ties this season because a lot more teams are involved in the relegation battle than in previous seasons. You need a strong mentality to handle games, and I don't think we lack spirit or determination."
Everton boss Walter Smith conceded that we were on top and was delighted with his side's point on Saturday.