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Chelsea are bidding to become the first team to win all three current European competitions The Premier League has teams in all three European competitions as we enter the quarter-final stage. No country has won all three in the same season, although the Conference League is only in its fourth campaign. Aston Villa and Arsenal are representing England in the Champions League, with Manchester United and Tottenham in the Europa League and Chelsea in the Conference League. Scotland also has a team still in Europe, with Rangers into the Europa League quarters too. BBC Sport looks at the chances of a clean sweep. Aston Villa will play Paris St-Germain in the Champions League quarter-finals, with Arsenal up against holders Real Madrid. PSG beat Liverpool in the last 16, the only English team to go out of any of the competitions at that stage this season. Manchester City, who lost to Real in the round before that, are the only other Premier League side to be knocked out of Europe this season. Manchester United will face French side Lyon in the Europa League quarters after Bruno Fernandes scored a hat-trick in their 4-1 (5-2 aggregate) win over Real Sociedad. Boss Ruben Amorim said: "We have a lot of games in the Premier League [before then]. In my head we are going to use every minute to improve the team. "Against Lyon it will be a different game, the physicality is there. "They play in a league which is so physical. It doesn't have the same quality, but it is going to be a different game. " Tottenham, who overcame AZ Alkmaar 3-2 on aggregate, will play Eintracht Frankfurt. "The next stage is what we set out to do at the start of the two legs, " said goalscorer James Maddison. "There was a lot of talk after last week's performance [a 1-0 loss away], we were honest with ourselves it wasn't good enough. "I know what we're capable of here and we got the job done. We haven't achieved anything yet, we're in the quarter-final and we kick on and we look forward to it. " Rangers, who beat Fenerbahce on penalties, play Athletic Bilbao next. And in the Conference League, Chelsea - who knocked out Copenhagen - will play Polish side Legia Warsaw. In the Champions League, no, but in the Europa League, yes. Arsenal and Villa are in the same half of the draw, meaning they would meet in the semi-finals if they win their last-eight ties. But Manchester United and Tottenham would meet in the final if they win their quarters and semis. "Do not underestimate how important it is if United get to the final. It would give Ruben Amorim a lot of credibility, " said ex-United coach Rene Meulensteen on BBC Radio 5 Live. Rangers and Manchester United could meet in the semi-finals. Chelsea are the only English team in the Conference League. Statisticians Opta make Arsenal third favourites to win the Champions League, with a 16. 8% chance. Aston Villa are seventh favourites (ie second bottom) with a 2. 8% shot. Barcelona (20. 4%) and PSG (19. 3%) are seen as the two favourites. Arsenal's opponents Real Madrid, the reigning champions, are given a 13. 6% chance. In the Europa League, Manchester United and Tottenham are ranked as two of the three favourites to win it with the bookmakers, along with Lazio. That is despite both sitting in the bottom half of the Premier League table. Chelsea have been odds-on favourites to win the Conference League for most of the season. The Blues, who would become the first team to win the Champions League, Europa League and Conference League, are ranked eighth in Uefa's club rankings - in all competitions. Chelsea boss Enzo Maresca told TNT Sports: "It's important to reach the quarter-finals. Now the target is the next step which is the semi-finals. "This club always won trophies in the past and we need to do our best to achieve our target this season. We have to give to the fans and the club a title. " Goalscorer Kiernan-Dewsbury Hall added: "Chelsea have won the Champions League, the Europa League, it would be stupid of us to say we can't win this. "It's not arrogant from us but we just know the quality that we have in the squad. Copenhagen are a good team but we are happy to be through. " No league has managed to win the Champions League, Europa League and Conference League in the same season. But Roma, West Ham and Olympiakos are the only three teams to win the Conference League to date. There have been six times since 2000 that the Champions League and Europa League have all come from the same country - with five of them Spain. In 2006, 2014, 2015 and 2016 Sevilla won the Uefa Cup/Europa League. Barcelona won the Champions League in 2006 and 2015, with Real Madrid winning the other two years (both times against Atletico Madrid). In 2018 Real won the Champions League and Atletico lifted the Europa. But in 2019 England went one step better with two all-English finals. Liverpool beat Tottenham in the Champions League, with Chelsea seeing off Arsenal to win the Europa League. The Champions League/Conference League double was done in 2023 with Manchester City and West Ham. 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