Poly Network, a platform that facilitates peer-to-peer transactions, said on Twitter that, as of 08:18 GMT, hackers had returned $342 million of the currencies stolen.
Some $268 million worth of tokens are still outstanding, it said.
Poly Network, which allows users to transfer or swap tokens across different blockchains, said on Tuesday it had been hit by the cyberheists, urging the culprits to return the stolen funds.
The theft illustrated the risks of the mostly unregulated decentralised finance (DeFi) sector. DeFi platforms allow users to conduct transactions, usually in cryptocurrency, without traditional gatekeepers such as banks or exchanges.
The Poly Network hacker or hackers, who have not been identified, started returning the stolen coins on Wednesday. Blockchain analysts said they might have found it too difficult to launder stolen cryptocurrency on such a scale.
Poly Network emailed Reuters a copy of its tweet in response to a request for further details of the latest return.
It did not immediately respond to questions on where it is based, or whether any law enforcement agency was involved. According to the crypto website CoinDesk, Poly Network was launched by the founders of the Chinese blockchain project Neo.
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(Reporting by Tom Wilson; Editing by Mark Potter)