Teams in Champions League and Europa League will discover their second-round opponents when the draws are made on Monday from 11:00 GMT in Nyon, Switzerland which is 12:00 around noon local time.
Europa League last-32 draw is at 12:00 GMT about 1;00pm in Nigeria.
However, finishing first does not guarantee an easier tie in the next phase as Manchester United, Liverpool and Manchester City could all face one of Bayern Munich, Juventus or Real Madrid. Tottenham could get Bayern or Juventus, but not Real, having been in the same group.
Chelsea will be hoping they get drawn against Besiktas, otherwise they will play either Paris St-Germain or Barcelona.
Arsenal won their Europa League group – ensuring they will play either a team who finished second in a group, or any of the four worst teams to finish third in a Champions League group. They could face Celtic, Borussia Dortmund or Napoli.
Celtic will face one of the Europa League group winners – or one of the best four teams to drop out of the Champions League.
Potential opponents for British teams
Manchester United (Group A winners): Bayern Munich, Juventus, Sevilla, Shakhtar Donetsk, Porto or Real Madrid.
Chelsea (Group C runners-up): Paris St-Germain, Barcelona or Besiktas.
Liverpool (Group E winners): Basel, Bayern Munich, Juventus, Shakhtar Donetsk, Porto or Real Madrid.
Manchester City (Group F winners): Basel, Bayern Munich, Juventus, Sevilla, Porto or Real Madrid.
Tottenham (Group H winners): Basel, Bayern Munich, Juventus, Shakhtar Donetsk or Porto.
Arsenal (Europa League): AEK Athens, Astana, Celtic, Borussia Dortmund, Steaua Bucharest, FC Copenhagen, Ludogorets, Lyon, Marseille, Napoli, Nice, Ostersund, Partizan Belgrade, Real Sociedad or Spartak Moscow.
Celtic (Europa League): AC Milan, Arsenal, Atalanta, Athletic Bilbao, Atletico Madrid, Braga, CSKA Moscow, Dynamo Kiev, Lazio, RB Leipzig, Lokomotiv Moscow, Plzen, Red Bull Salzburg, Sporting Lisbon, Villarreal, Zenit St Petersburg.