A youthful Liverpool side played out a 1-1 draw with Wacker Innsbruck in their first 30-minute friendly in Austria before a stronger Reds side were held to the same scoreline by Stuttgart.
Mohamed Salah, Sadio Mane and new signing Ibrahima Konate were included in the line-up for the second shortened friendly against the Bundesliga side, while fit-again Trent Alexander-Arnold, Joel Matip and January signing Ben Davies featured for the younger team against Innsbruck.
Alexander-Arnold returned to the playing squad for the first time since suffering a thigh injury on England duty in June against Austria, which subsequently ruled him out of the Three Lions' Euro 2020 campaign that ended in shoot-out heartbreak to Italy.
Divock Origi opened the scoring with a spot-kick in the first game as the Belgian forward profited from a handball that came from full-back Owen Beck's cross.
But Origi's penalty was swiftly cancelled out by Ronivaldo's header past Loris Karius and that meant it was honours even between Jurgen Klopp's men and the Austrian side.
In the follow-up game against Stuttgart, Philipp Forster capped a slick move off to give Pellegrino Matarazzo's men the lead as he finished past Adrian inside the opening 10 minutes.
Liverpool, though, responded through Mane, who squeezed a shot in from close range after Kostas Tsimikas had initially got on the end of James Milner's cross.
And with neither team finding a winner inside 30 minutes, the Reds had to settle for two draws in their two run-outs at their camp in Austria.
Klopp's team next face Mainz on Friday before friendlies against Hertha Berlin, Athletic Bilbao and Osasuna round off their pre-season preparations.