Singh, who only joined Bayern's reserve team two weeks ago, has now scored and assisted in his two matches so far for the German club.
The Kiwi started the match against Dukla Prague on the bench, but managed to come on in the 63rd minute before scoring in the 78th minute.
"The New Zealander prevailed strongly against two Czechs and hit from 20 meters," Bayern Munich reported on their website.
The attacking midfielder who had a breakout season with Wellington Phoenix in 2018-19, has also been included in the first team's pre-season tour of the United States.
Bayern face Arsenal on July 18, Real Madrid on July 21 and Milan on July 24 as part of the International Champions Cup - every match of the tournament will be shown LIVE, FREE and in HD on SBS Viceland.
Singh could be lining up with the likes of Robert Lewandowski, Thomas Muller and Thiago Alcantara who have also been included in the squad.
Bayern Munich confirmed that the 20-year-old will join the first time in Los Angeles on Monday.