The second set was more one-sided, with Medvedev not looking back from a 4-0 lead before wrapping up the match in an hour and 23 minutes.
Playing with the protected ranking after being ranked 240th, Andy defeated James Duckworth in the opening round for some positive vibes after a awful year and a half he had but he could not have repeated the same against the rising Russian, staying in touch in the opening set before fading away from the court, unable to match the rival's pace and the power of his shots.
Murray progressed to the second round of the Brisbane International on Tuesday with a 6-3 6-4 victory over Australian wildcard James Duckworth, his first match since bringing an early end to a truncated season in September. There were signs in both matches that he is still bothered by the hip problem which has derailed his last two seasons.
Defending champion Nick Kyrgios battled past American Ryan Harrison in a rematch of last year's final.
"If you're not serving as well, or if you're not moving as well, the better players exploit that", Murray said. "He is a top player and is able to do that".
However, after conferring with his doctors he chose to withdraw to ensure he would be fit to play the Australian Open later this month.
"I did an MRI and it shows a small strain on my left thigh", said the world No 2.
Russian Federation charges detained American Paul Whelan with espionage
Before his arrest, he had been staying at Moscow's Metropol Hotel and spent time with the wedding party at the Kremlin. Whelan's family has staunchly denied that he could be a spy. "Make no mistake, this is a hostage situation".
British PM Theresa May plugs her Brexit deal in New Year message
He said a deadlock in Britain's parliament, which means that it is unclear what shape Brexit will take, meant a solution was necessary.
Coachella 2019 Announces Full Lineup
Perth band Tame Impala has been handed top spot on the 2019 Coachella bill, alongside Childish Gambino and Ariana Grande . This year's festival will take place from April 12-14, then again a week later from April 19-21.
Nadal said he'd head to Melbourne after a brief stopover in Sydney for a Fast4 event to prepare for the Australian Open.
Former world No 1 Murray was beaten 7-5 6-2 in his second match of the tournament, as he steps up his recovery from a hip injury. Medvedev, who went 43-24 with three ATP Tour titles in 2018, will next challenge fifth-seeded Canadian Milos Raonic in Friday's quarter-finals.
Estonia's Annet Kontaveit caused a boilover when she beat fourth seeded Czech Petra Kvitova 7-5, 7-6 (7/1).
Croatian Donna Vekic continued her good form when she downed Dutchwoman Kiki Bertens in three sets 7-6 (7/5), 1-6, 7-5.
The absence of Nadal, who was replaced in the draw by Taro Daniel, and Murray puts more focus on the Nishikori-Dimitrov quarterfinal match.
Also in the first round, Ivana Jorovic of Serbia upset second-seeded Caroline Garcia of France, 6-4, 6-2, and Alison Riske of the United States defeated No. 3 Wang Qiang of China, 6-3, 6-3. He's using the quarterfinal match as a barometer for where his preparations stand for the Australian Open.
"Weirdly enough, walking is actually worse than some of the movements I have to make on the court, which is odd, and that's something that is frustrating for me at times, because I don't like walking around limping", he said.