Lindsay Lohan with her parents, Michael and Dina
Rob Rich/Everett Collection
06/03/2008 AT 01:30 PM EDT
's divorced parents met in family court in New York on Tuesday to discuss visitation with their younger children Ali and Cody.
After spending part of the morning in private talks, Judge Stacey Bennett said in open court: "I'm encouraged to hear that the parties and counsel are working at ways to repair the relationship between the children and the father."
Michael Lohan, 48, and Dina Lohan, 45, reached a settlement
in their contentious divorce last summer.
But other issues remained to be worked out, including parental access to their minor children – Ali, 14, who costars with her mother in a reality TV series, and brother Cody, 11.
The Lohans' older children, Lindsay, 21, and her brother Michael, 20, are no longer minors and, therefore, not under the purview of family court.
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