Chelsea gets over Inter Milan 5-4 on penalties
Chelsea edge past Inter Milan on penalties
It was the second goal in as many games for Pedro, who celebrated his 31st birthday on Saturday, after he netted the winner in Monday's 1-0 victory over Perth Glory in Australia.
Inter levelled early in the second half through Roberto Gagliardini, whose drilled shot proved too much for Argentina's Caballero after fellow half-time substitute Tiemoue Bakayoko gave the ball away.
New Chelsea signing Jorginho nearly won it with a curling effort that forced Handanovic into a fine sprawling stop, while Tammy Abraham couldn't hit the target as he tried to steer home an Emerson cross.
Twenty-year-old Argentine Lautaro Martinez, who joined Inter from Racing Club at the start of July, almost snatched a winner for the Italians in stoppage time when his sharp first-time strike was well kept out by Caballero.
Caballero, who was dropped at the World Cup following a 3-0 group stage loss to Croatia, saved from Skriniar with his legs in the shootout before Cesar Azpilicueta converted the decisive spot-kick.
Chelsea play Premier League rivals Arsenal in Dublin on Wednesday before wrapping up their pre-season campaign at home to Lyon on August 7, two days after facing Manchester City in the Community Shield.
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