Inter are drawn Ludogorets in the last 32 of the Europa League, whilst Roma will face Gent in the next hurdle.
The Nerazzurri finished third in their Champions League group, behind Barcelona and Borussia Dortmund, and now face Ludogorets, who lead the Bulgarian top tier.
The first match will take place in Razgrad on February 20, whilst the return leg will be played at San Siro one week later, on February 27.
Meanwhile, Roma went through from their Europa League group and are handed a tie with Gent in the next round.
The Belgians reached the Round of 32 by topping Group I, where they came through unbeaten against Saint-Etienne, Oleksandria and Wolfsburg.
The first leg will be staged at the Olimpico as the Giallorossi ranked runners-up to Istanbul Basaksehir in their pool.
Europa League last 32 draw
Wolverhampton Wanderers v Espanyol
Sporting CP v Istanbul Basaksehir
Getafe v Ajax
Bayer Leverkusen v Porto
FC Copenhagen v Celtic
APOEL Nicosia v FC Basel
CFR Cluj v Sevilla
Olympiacos v Arsenal
AZ v LASK
Club Brugge v Manchester United
Ludogorets v Inter
Eintracht Frankfurt v RB Salzburg
Shakhtar Donetsk v Benfica
Wolsburg v Malmö FF
Roma v Gent
Rangers v Braga
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