UPDATE 1-Indonesia's bourse halts trading in BII shares

(Adds comments from stock exchange)

JAKARTA, Sept 29 (Reuters) - The Indonesian stock exchange halted trading in PT Bank Internasional Indonesia Tbk (BNII.JK) on Monday following lingering uncertainties over the fate of plans by Malaysia's Maybank (MBBM.KL) to acquire the lender.

Malaysia's central bank told the state-owned Maybank to lower the price of its $2.7-billion bid for BII last week, which pulled BII shares by more than a third on Friday.

The trading halt came after Fullerton Financial Holdings, a unit of Singapore's Temasek [TEM.UL], said on Saturday it had offered an improved deal for the sale of its stake in BII, but Maybank did not accept it.

"We are waiting for more developments because there were talks this morning between Maybank, Fullerton and Kookmin on the transaction," Erry Firmansyah, president director of Indonesia Stock Exchange, told Reuters through a mobile phone text message.

Maybank agreed in March to pay $1.5 billion, or 510 rupiah per share, for a 55.5 percent stake in BII From Fullerton and South Korea's Kookmin Bank 060000.KS, and to make a tender offer for the remaining shares, putting the total price tag at $2.7 billion.

Several analysts criticised the deal at the time, saying the Malaysian bank had overpaid for BII. (Reporting by Harry Suhartono, editing by Sugita Katyal)