Liverpool appeared set to open their ICC campaign with victory thanks to Virjil van Dijk's 25th-minute opener, until Pulisic inspired Dortmund's comeback after the hour.
Christian Pulisic's incredible skill was in full display on Sunday afternoon.
Dortmund, meanwhile, have now won both of their matches in this year's International Champions Cup and would finish the pre-season tournament with a 100% record if they also beat Benfica in Pennsylvania next week.
Liverpool came close to doubling their lead but Sheyi Ojo was denied by the crossbar.
At the same time, the likes of Dominic Solanke and Divock Origi have struggled to make an impact on pre-season, boosting Sturridge up the list.
The Reds were again without a number of key players after the World Cup.
"I will go step by step and I think these next days will help me to increase my fitness level and to get in better shape".
Klopp hails Dortmund star Pulisic after Liverpool loss
For all their exciting wingers, and there are many of them, Dortmund are lacking that killer touch in front of goal.
Philipp immediately looked to catch Karius out of position from just inside the Liverpool half, but with the goal gaping he dragged his effort wide of the target when he perhaps should have done better.
Loris Karius (played entire match) - 5: nearly a "Karius calamity" in just the third minute when he played the ball straight out to a Dortmund striker, toughest save he had to make in the first half was from a van Dijk back pass, held one sharp low cross late in first half - though it nearly bobbled out, could not be blamed for the penalty miss or Pulisic's second but palmed Pulisic's shot straight to Bruun Larsen for the third.
Liverpool last week completed the signing of Alisson from Roma for £65 million - the highest ever transfer fee for a goalkeeper.