With Southampton now relegated there are realistically two other clubs from Leicester, Leeds, Nottingham Forest, and Everton on shaky grounds to join them in the second tier.
Everton have two winnable games left. To me they will stay up. Leeds are unlikely to win both their last fixtures. But with Leicester struggling for points, they are likely to go down, along with Leeds or Nottingham Forest. Will be interesting when it is down to the wire.
Man City and Arsenal have automatically qualified for the Euro Champions League. The three other contenders battling for the two spots are Newcastle, Liverpool and Man United. To me Newcastle have to win just one more game to qualify. Hence they should be able to sew that spot without not much of a sweat with the likes of Leicester as their next opponent. I think that Man United will also join them as they have 3 more matches while Liverpool have just two remaining ones left. Liverpool and Brighton to be part of the Euro Cup, along with probably West Ham. Tottenham could lose out to Aston Villa for the Conference League tournament.