Acheampong, 19, and Badiashile, 24, both started the game against Liverpool, marking the first time the centre-backs have played together in a competitive game.
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Neither of them ended it, however, with Badiashile going off injured in the 55th minute and then Acheampong following suit 13 minutes after.
Chelsea were already without Trevoh Chalobah, Wesley Fofana, Tosin Adarabioyo, and Levi Colwill due to injury or suspension for the Liverpool game.
Speaking after the game, Caballero, who was filling in for Enzo Maresca following his red card, gave a short update.
"They are OK. They were a little bit concerned about their situations, but we talked with them and they are OK. They need this break to recover well," he said.