Fedi Ben Choug put the visiting team ahead on 66 minutes and Haroun Bokhit levelled before his teammate Leger Djimrangar missed a penalty for the home side elect in N'Djamena.
Esperance lacked many of the team that retained the trophy in bizarre circumstances while several stars, including Algerian Youcef Belaili, have joined other clubs.
Winger Belaili, part of the Algeria 2019 Africa Cup of Nations-winning team, has joined Al Ahly Jeddah of Saudi Arabia.
Left-back Ayman Ben Mohamed signed for French outfit Le Havre, midfielder Ghaylen Chaaleli joined Malatyaspor of Turkey and forward Saad Bguir moed to Abha of Saudi Arabia.
Having received a preliminary round bye, Esperance seem virtually assured of overall victory against Elect when they meet again this month in Tunisia.