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Kata, a versatile back who has established himself at centre with Tigers, has featured seven times so far under Michael Cheika this season, scoring three tries to take his overall club tally to seven.
“Sol is a big talent and also a big character inside the squad,” Cheika said.
“We really welcome his decision to stay with the club as I know he is a player in demand.”
Kata is the third Tigers player in as many days to sign a new deal with the club, following England lock Ollie Chessum and Scotland prop Will Hurd.