Murray's invitation to Wang -- her third since Oct. 2 -- came in a letter sent Thursday. Monday she received a letter from Wang agreeing to meet.
Both Wang and Murray have said they're not going to discuss details of the negotiations publicly. Murray has said she hopes the two sides can find "commonality" in "scaling down" the project.
The Lighthouse Development application, first submitted to the town in November 2007, requests new zoning for a mixed-use 42-building community surrounding a renovated Nassau Coliseum. The plan would include shops, housing, a convention facility, a sports technology center and a five-star hotel.
Murray has said several questions remain unanswered about such issues as water, traffic and the number of buildings, even after a Sept. 22 public hearing and the developers' completion of a 4,000-page final environmental impact statement.
Wang, who also owns the New York Islanders, has said since the town didn't give him "certainty" by the deadline he imposed -- Oct. 3 -- he is also exploring other options for the team and the Lighthouse project. Suffolk, Queens and Brooklyn have surfaced as possible relocation sites.
However, there is a provision under which Wang could break the current lease. If the environmental impact statement gets town approval, the County Legislature would be required to vote on a new lease -- already signed by Wang and County Executive Thomas Suozzi -- within 120 days. Lacking such a vote, Wang could break the current lease.