That was "special autonomy and topics around that", Yudhoyono told reporters in the Aceh provincial capital of Banda Aceh, where he was touring areas devastated by the December 26 earthquake and tsunami.
GAM has rejected similar offers in the past, insisting on ultimate independence from Jakarta.
The talks are aimed at ending three decades of violence and securing a lasting peace for the gas-rich province on the northern tip of Sumatra.
Analysts say the meeting should aim to secure a cease-fire so that rehabilitation work can proceed more smoothly in Aceh, where more than 235,000 are dead or listed as missing after the earthquake and the tsunami it unleashed.