In a high-profile episode 15 years ago under then CEO Magnus Böcker, SGX's bid to merge with the Australian Securities Exchange was blocked by the politicians.
Cboe Australia is described by the AFR as a rival trading venue to ASX, the main bourse.
"The speculation reported in the AFR article and other media articles is inaccurate. SGX Group is not exploring or considering an acquisition of Cboe Australia," says an SGX spokesperson.
Cboe Australia accounts for around 20% of the trading volume of shares in Australia.
See also: DBS opens at $60, new record high for stock
The parent company Cboe, in October, indicated that it had started a sale process, along with Cboe Canada, so as to focus on its core operations.
SGX shares, as at 9.26 am, changed hands at $16.72, down 0.36% but up 33.65% year to date.
