Malky Mackay met with Crystal Palace officials yesterday.
The Daily Mail says Mackay, who worked alongside Iain Moody at Cardiff, held a second round of talks with co-owner Steve Parish on Monday over the vacant manager's role.
The Scot, who has been out of work since his sacking at Cardiff in December, held initial discussions with Parish on Sunday - as did Tim Sherwood, the other leading candidate for the role.
Parish is set to make the final decision on who he wants to replace Tony Pulis in the next 48 hours.
