We should have pulled one back after 73 minutes, Peart-Harris snuck towards the back post and headed on goal from a corner but a good save from Joao Virginia denied us a route back into the game.
As we entered the final quarter Everton looked to defend their lead and it was all Chelsea in offensive possession as our youngsters desperately searched for a lifeline.
However with men committed forward the hosts remained a threat on the counter and Simeu stayed alert in the latter stages to provide some vital blocks to prevent further damage to the Chelsea net.
We probed the defence right up until the final seconds of play but couldn’t find a way through and the game ended in defeat for Myers’ men.
Another away trip awaits the development squad after the international period. Manchester City host us on Sunday 22 November, kick-off is scheduled for 1pm.
Chelsea (4-2-3-1) Karlo Ziger; Henry Lawrence, Dynel Simeu (c), Levi Colwill (Pierre Ekwah-Elimby 66), Baba Rahman; Lewis Bate, Danny Drinkwater; Tino Livramento, Tino Anjorin, Thierno Ballo (Myles Peart-Harris 66); Bryan Fiabema (Charlie Brown 58)
Unused subs Lucas Bergstrom, Marcel Lewis
Booked Bate 33
Everton Joao Virginia, Matthew Pennington, Niels Nkounkou, Beni Baningime (c), Ryan Astley, Jarrad Branthwaite, Nathan Broadhead (Sebastian Quirk 84), Tyler Onyango, Ellis Simms, Einar Iversen (Imam Jagne 90 +3), Anthony Gordon
Unused subs Con Ouzounidis, Harry Tyrer, Rhys Hughes
Booked Virginia 16, Baningime 27, Nkounkou 61, Onyango 65
Scorer Simms 55; Onyango 68