Sunderland will mark their first European campaign since 1973 with a trip to the San Siro after drawing AC Milan in the Europa League.
The Black Cats, who finished seventh in the Premier League last season, will face the seven-time European champions in one of their eight league-phase matches.
One of their four away matches will come against European debutants Torreense.
The second-tier side earned qualification for the Europa League by inflicting a shock defeat on Sporting CP to win the Portuguese Cup final in May.
But as their 2,500-capacity home stadium in Torres Vedras does not meet Uefa’s requirements, they will play their home matches 193 miles away at the Estadio Algarve in Faro.
Bournemouth have also been handed a tie against AC Milan, although theirs will be on home soil.
The Cherries, who have qualified for European football for the first time, will also face Real Sociedad among their eight games.
Last season’s Conference League winners Crystal Palace have been handed arguably the toughest draw out of the three Premier League teams, with Pierre Sage’s side set up for meetings with Lyon, Real Sociedad and Besiktas.
It will be the first time Palace have competed in the Europa League, having been demoted from the competition last July for breaching multi-club ownership rules.
Scottish Premiership champions Celtic, who fell into the Europa League after surrendering a four-goal lead against LASK in the Champions League play-off tie earlier this week, will take on Marseille, Benfica and Besiktas.
In the Conference League, Brighton’s draw includes fixtures against AS Monaco and Spanish side Getafe.
Hearts have also been drawn against Monaco and will also face a trip to Mohamed Salah’s Trabzonspor.
The Europa League final will take place in Frankfurt on 26 May, with the Conference League equivalent taking place seven days later in Istanbul.