Everton manager David Moyes said only five wins from as many games could earn his side a spot in the Champions League.
Moyes' men held Arsenal to a 0-0 stalemate at the Emirates Stadium on Tuesday, but the Merseyside club would have wanted all three points against one of their rivals for a top-four spot.
Everton are two points shy of fourth-placed Chelsea - although Rafa Benitez's Blues have two games in hand, while fifth-placed Tottenham have a game spare and are level with last season's Champions League winners on points.
But Moyes was still optimistic, in light of their charge towards Europe's top club tournament seemingly ending with their draw in London.
"We probably need to win all our games to have any chance but the players are playing well, we've had a couple of really hard away games and we keep picking up points," Moyes told Sky Sports.
"I thought it was a really good game, it was end to end, we played some good stuff and we had to defend well.
"It was never going to be easy for us but I'm not going to be too despondent with a point even though I wanted to win it.
"We got a little bit fortunate and there were a couple of bits of fantastic defending to make sure we didn't concede a goal.
"We didn't have as many chances as we would have liked in the second half, but any manager who comes here knows that you're not going to get loads of opportunities."