Serie A sides Juventus and Livorno have each appealed to the Court of Arbitration for Sport after FIFA's ruling demanded both clubs help Adrian Mutu pay Chelsea 21 million euros (£17,785,000).
Mutu was sacked by Chelsea in September 2004 after testing positive for cocaine.
The former Romania international received a seven-month ban from football, but Chelsea took a firm stance on the forward and sacked him before suing to recover the money they paid to sign him.
"I admit that we were left very surprised by the ruling against us," Juventus administrator Aldo Mazzia said to www.tuttojuve.com earlier this week.
"But I believe we have a good probability to overturn this decision and we will use every channel possible to make our reasons heard.
Mutu, now 34 and playing club football in Ligue 1 side AC Ajaccien, was initially ordered to pay former club Chelsea 17.7million euros (£14,990,000) but has always claimed he cannot afford to pay the fine.
That figure has risen due to interest over time with Mutu having lost all of his appeals in a legal battle which has lasted over nine years.