But Davies said he and his side will be looking to win the last game of the season at West Ham.
Everton fans shield their eyes during the Premier League match between Everton and Southampton at Goodison Park on May 5, 2018 in Liverpool, England.
"We weren't playing well". What did I have, eight games?
Nathan Redmond scored Southampton's goal in the 1-1 draw at Everton on Saturday.
"In the end, we've probably made a couple of wrong decisions, which can happen when you're down to ten men and tiredness plays a part".
"There's definitely still motivation to get points", he said. "I don't think we're in any way damaged by the consequences of the game in terms of confidence, so we'll be ready to go again and it's up to us to get the job done".
"We just have to make sure we are after the next two games we have left".
Substitute Nathan Redmond's first goal in nearly a year appeared to put the fight very much back in Saints' hands as it would have left them needing a win at fellow struggler Swansea on Tuesday to guarantee safety. "We'll give that one a go as well, but clearly the Swansea one is one that we can really decide our own fate".