It appears that opportunity will come before July's Olympics.
Cases are rarely sent back to CAS by the Swiss Federal Court, but in 2007 tennis player Guillermo Canas succeeded in having his doping violation looked at a second time.
It took less than two months for CAS to uphold its ban – and there was less urgency in that case because Canas had already served his suspension and was only fighting to clear his name.
CAS issued a statement on Friday saying "it very much regrets" the objections against Frattini were not raised by Sun's lawyers earlier and promised to "immediately resume the procedure".
Sun is accused of destroying a blood vial with a hammer when collectors visited his home in September 2018 during an out-of-competition doping test.
The 29-year-old, who has 11 world championships under his belt and won two golds at the 2012 London Olympics and one in Rio de Janeiro in 2016, had said in February he would fight the ban till the end and defended his action saying the doping testers who went to his home were not qualified.
"Let more people know the truth," Sun said. "I believe in my innocence! Believe in the truth and defeat the lie!"
Sun also served a three-month doping suspension in 2014 for taking the stimulant trimetazidine, which he said he took to treat a heart condition.
The ban was not announced until after it ended and he never missed a major event.
Australian swimmer Mack Horton and Scottish swimmer Duncan Scott had refused to share a podium with Sun at the World Championships in South Korea in 2019, calling him a drug cheat.
– with AFP