United were off to a flier on their return to Europe's premier event and had maintained a flawless record until matchday five when they were beaten 1-0 by Basel.
It is also not possible for teams from the same country to be drawn against each other in this round.
Chelsea have won the Premier League title in two of the past three seasons to dominate the English top flight.
The draw for the round of 16 takes place at UEFA's headquarters in Nyom in Switzerland on Monday. If Mauricio Pochettino can keep Harry Kane, Dele Alli and Christian Eriksen fit and firing, Tottenham could match their famous run to the quarter-finals in 2011, at least.More news: Marlins fire sale begins? Mariners get Dee Gordon in trade from Marlins
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ManchesterUnited, PSG, Roma and Barcelona will be the seeded teams from Groups A-D, while Liverpool, ManchesterCity, Besiktas and Tottenham are the seeded teams from Groups E-H.
Chelsea: Barcelona, Paris Saint-Germain, Besiktas, Spartak Moscow or Sevilla. The first legs will be played on 13, 14, 20 and 21 February, and the second legs will be played on 6, 7, 13 and 14 March 2018.
The Red Devils could face several European giants in the round of 16. "At this stage of the competition, those that qualify are top teams - you can't dodge anyone too much - but I hope the draw is a good one for us". The Bianconeri have been struggling to live up to their high standards this season and have been surprisingly vulnerable at the back, while the likes of Paulo Dybala and Gonzalo Higuain haven't been firing either.
There are set to be some heavyweight ties in the Champions League round of 16 with the seedings for the first knockout round now known.
"We have to show to deserve to fight until the end for the title".