Inter are handed Eintracht Frankfurt in the Europa League last-16 draw, while Napoli will face Red Bull Salzburg.
This is the first time both fixtures will be played competitively, although Inter have won 21 of their previous 42 meetings with German clubs, while Lazio went out to Salzburg in the quarter-finals last season.
Maurizio Sarri, meanwhile, takes his Chelsea side to Ukraine for the second leg of their last-16 tie as they have been paired with Dynamo Kiev.
The first legs are scheduled to be played on Thursday March 7 at 17:55 GMT, with the second legs at 20:00 seven days later.
Europa League last-16 draw in full:
Chelsea v Dynamo Kiev
Eintracht Frankfurt v Inter
Dinamo Zagreb v Benfica
Napoli v Red Bull Salzburg
Valencia v Krasnodar
Sevilla v Slavia Prague
Arsenal v Stade Rennais
Zenit St Petersburg v Villarreal