Joao Pedro made his debut but Liam Delap and Levi Colwill will miss the semi-final through suspension
Freak goal: Malo Gusto’s cross was steered in by Weverton
Chelsea Football Newsletter
Chelsea Football Newsletter
Cole Palmer put the Blues ahead in the first half with a fine solo effort, holding off two challenges before cooly slotting inside the far post.
Chelsea could - and perhaps should - have added to their tally before the break, with Liam Delap and Marc Cucurella missing good chances after being set up by the impressive Pedro Neto.
Delap struggled to assert himself against the Palmeiras, and his frustrations boiled over in the form of multiple first-half fouls, and then a booking - which rules him out of the semi-final.
And that wastefulness was punished by Estevao, who beat Robert Sanchez from the tightest of angles soon after the restart.
Taking the ball inside the area, the teenager took two touches and unleashed a shot inside the near post, which flew into the top of the net.
Shopping Best Buys