Tobias Friedrich Moran, formerly known as Tobias Suckfuell, was flown to Sydney on Wednesday after spending the night at Perth Watch House after a magistrate granted his extradition.
The now 42-year-old was traveling through Australia with Mrs Strobel when her body was found near a caravan park in Lismore in 2005.
The 25-year-old teacher was suffocated with a pillow or plastic bag.
The murder of Ms Strobel has remained unsolved despite the creation of a police strike force and the NSW government offering a $1 million reward in 2020.
On Tuesday, it emerged that Moran had been arrested in connection with the case after a NSW warrant was issued.
He has since been charged with murder and acting with intent to distort the course of justice. Because he has refused bail, he will appear in court at Downing Center in Sydney on Thursday.
Moran’s attorney Tony Elliott told Perth Magistrates Court that his client had no previous known convictions and that he was not aware of any other charges or bail proceedings.
Police have previously said they believe Ms Strobel was murdered by Moran, who refused to return to Australia to testify during her inquest.
NSW Deputy Coroner Paul McMahon in 2007 found there was insufficient evidence to recommend charges, but said he had a “very strong suspicion” that Moran, then known as Suckfuell, was involved in the murder.
Ms Strobel was on a night out with Moran and friends when she was last seen in Lismore Tourist Caravan Park on February 11, 2005.
Her body was found six days later, hidden under palm fronds on a sports field, less than 100 yards from the caravan park.
In 2014, authorities in Germany also offered a reward of 10,000 euros to German and Australian residents with information about Ms Strobel’s death.