Whyvonne Isuza scored within the first 20 seconds of the match and the hosts held onto the lead until substitute George Abege leveled with a few seconds left to the final whistle.
Ingwe coach Mbungo was left a frustrated man and could not hide his disappointment after the game.
“It is hurting because this is a match we could have won,” the Rwandan coach told Goal.
“It is not from the way we played, but it is individual mistakes that cost us maximum points. This is a situation that happens in football, once you switch off late into the game then chances of conceding are very high.”
The tactician has, however, lauded his charges for a good display and promised to grind out positive results in the remaining matches.
“Our game has improved; you can attest to that, but what is most important is to win matches," Mbungo continued.
"We have been surging upwards on the log, and a win against Sharks could have pushed us further up on the table but we live to fight another day.”
Following Wednesday's result, the 13-time league champions are 10th on the KPL table after accumulating 31 points.