Pot 3: Ajax, Anderlecht, Juventus, PSG, Olympiacos, Lille, Galatasaray, Spartak Moscow
Between them, Ajax and Juventus have won the competition six times, so there's plenty of European heritage here. Nobody will want to draw big-money spenders Paris Saint Germain, either - they've signed some of Europe's best talent this summer. Fellow French side Lille also shouldn't be underestimated, even if they are now without star man Eden Hazard. With Galatasaray and Olympiacos promising hostile receptions and Spartak Moscow involving long-haul travel, Anderlecht looks the most appetising option.
Pot 4: Borussia Dortmund, Celtic, BATE Borisov, Dinamo Zagreb, Malaga, Montpellier, Nordsjælland, CFR Cluj
If you want lesser-known clubs, rags-to-riches stories and trips to out-of-the-way locations, Pot 4 often comes up with the goods. This year, Belarus, Croatia and Romania all boast representatives, while Malaga (Spain), Nordsjælland (Denmark) and Montpellier (France) are Champions League newcomers. The strongest footballing side is undoubtedly German champions Borussia Dortmund (avoid! avoid!), while Malaga and Celtic also have the potential to cause an upset. You'd fancy United most against Danish champions Nordsjælland and CFR Cluj, while trips to Dinamo Zagreb and Borisov should also yield positive results.
Follow the draw on ManUtd.com with live text commentary from 16:45 BST on Thursday.