A tight encounter at AMEX Elite Football Performance Centre looked like it was going the Seagulls' way as late as the 85th minute when Cameron Peupion gave the home side the lead.
Determined to steal a share of the points, City hit back just two minutes later though, as Evans charged down the left channel, working an opening, and firing it in at the near post.
This draw takes Leicester's youngsters up to 13th in the 26-team PL2 table on 15 points - a tally shared by four other teams in mid-table.
The league is so tight, in fact, that the young Foxes are both four points adrift of fifth place and four above 21st.
Our next outing comes on Saturday 25 January when Sunderland are the visitors to Seagrave (6pm GMT kick-off).
The details:
City: French; Aluko (Ali 45'), Godsmark-Ford, Wilson-Brown, Wormleighton; Braybrooke (Page 62'), Monga (Fisken 80'), Cartwright, Joseph, Alves (Briggs 62'); Evans.
Subs not used: Donohue.
Goal: Evans 87'.