VH-TJQ was cleared to leave controlled area on descent into Ayers Rock. Traffic information on a Boeing 737 taxiing at Ayers Rock for Alice Springs had been passed to TJQ along with advice to contact Adelaide Control passing F200 on descent. TJQ was later told to contact Adelaide Control early because of the departure of the Boeing 737 from Ayers Rock. On contact with Adelaide Control, TJQ was asked to report leaving F200. This was done but the response from Adelaide Control was cut out by another transmission. Direct contact was made with the opposite direction Boeing 737 which was now maintaining F180. TJQ then maintained F190 until the other 737 was sighted about eight miles ahead.