Arsenal are aiming to reach their first Carabao Cup final since 2011, but first they have to negotiate a way passed the current Premier League champions Chelsea.
Conte had mostly fielded fringe players en route to the last four, but Eden Hazard, back from a calf injury, N'Golo Kante and Thibaut Courtois were called upon with a Wembley showdown against Manchester City or Bristol City in sight.More news: Harry and Meghan feel the love in Brixton
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The first saw the Spaniard turn into space before quickly releasing a 25-yard effort which Ospina needed to parry away, before Morata then rolled Shkodran Mustafi to race through on goal and squeeze his finish under the onrushing Arsenal keeper, only to see it trickle into the side-netting.
The result means that all three competitive fixtures between the two sides this season have ended in draws, with one more to come when Arsenal welcome Chelsea to the Emirates for the return leg later this month.
Arsene Wenger has been banned for three matches and fined £40,000 for his comments in the referee's changing room following Arsenal's draw against West Bromwich Albion on New Year's Eve.