A spokesman for the state-linked firm confirmed Temasek's stake in the Chinese lender has been raised but declined to give any further details of the transaction.

Temasek Holdings bought 4.4 billion of the Chinese bank's Hong Kong-listed shares and paid as much as HK$4.94 ($0.63) per share, according to the filing by the Singapore firm made on September 1.

The filing made no mention of the party that sold the shares to Temasek.

Last Monday, troubled US financial giant Bank of America announced it would sell about half of its 10 percent stake in China Construction Bank for around $8.3 billion in cash to "a group of investors" without identifying the parties.

Media reports have identified the possible buyers as Asian and Middle East sovereign wealth funds, among others.

In July, Temasek Holdings said it sold partial stakes in China Construction Bank for more than $1 billion as part of the firm's portfolio rebalancing.

Temasek Holdings is one of two Singapore state investment firms and it had a portfolio worth Sg$193 billion ($160 billion) for the financial year ended March.