The governing body said it has offered a number of concessions, including a greater share of surpluses for both international and domestic players.
The offer, outlined in a letter from CA executive general manager Kevin Roberts to Australian Cricketers' Association chief Alistair Nicholson, comes just a week before the current Memorandum of Understanding (MOU) expires on June 30.
The players' union has been staunchly opposed to CA's plan to modify the existing MOU that provides a flat share of revenue for the players.
CA had instead offered international men's and women's players a share of surpluses up to Aus$20 million (US$15 million), while increases in domestic players' payments would be capped at 18 percent (men) and 150 percent (women).
The letter did not say how much more CA was prepared to offer.
But it did confirm that new contracts have been distributed to all Australian men's and women's players that are conditional upon a new MOU being finalised.
"Meetings between CA and the ACA over the last fortnight have been encouraging and we remain optimistic that continued momentum will result in a new MOU being agreed by June 30," Roberts said in the letter.
"CA has listened to feedback from players and has also invited the ACA to explore the flexibility we are prepared to offer in order to conclude a new MOU.
"Player feedback suggests that the sharing of international cricket surpluses with male and female domestic players and the level of pay increases for male state players are critical issues for them.
"We are therefore writing to indicate that CA is prepared to address these issues to help achieve a new MOU."
The players' union had earlier Friday called for "emergency mediation" with CA chief James Sutherland to rescue the protracted talks. It has not commented on the new deal.
Australian vice-captain David Warner has insisted players will not back down, placing at risk upcoming tours to Bangladesh and India along with the showpiece home Ashes series with England later this year.
First Published: June 23, 2017, 11:45 AM IST