A late strike from Josh King cancelled out Elisha Sowunmi's second-half goal to earn City's youngsters a point in the U18 Premier League, where they sit third in the standings with eight points from four games.
The Foxes are currently unbeaten in the league, last seeing victory at the end of August when they glided past Chelsea; Kirsten Otchere scoring twice before Leicester took on the Hammers.
The visitors took the lead after the hour mark in Seagrave through Sowunmi, taking advantage of a player advantage following Jake Evans' dismissal. But the final 10 minutes saw substitute King equalise for the 10-men, being supplied by Louis Page, as the forward netted his second of the campaign.
Another home test awaits for the Under-18s, who welcome Brighton & Hove Albion to the East Midlands for an 11am BST kick-off on Saturday morning.
The details...
City: Donohue; Aluko, Gray, Diallo, Khela; Page, Dyke; Omobolaji (King 59'), Monga, Evans, Otchere (Lawrence 82').
Unused subs: McNab, Toko, de Lisle.
Goal: King 83'.