Justice S Muralidhar directed NHAI to meet the developer tomorrow at 4 pm to resolve the dispute and reach an amicable solution and posted the hearing for July 5.
The court earlier had granted two weeks to NHAI and the concessionaire - Delhi Gurgaon Super Connectivity Limited (DGSCL) to discuss the proposal for out-of-court settlement.
The court was hearing DGSCL's plea for a direction to stop NHAI from taking any coercive action against it, including termination of the contract.
According to DGSCL, the relations between the two parties turned sour after the NHAI accused DGSCL of fraud in the form of re-financing the project without getting its approval.
The highways authority, while ordering termination of its deal with the private firm, had accused it of failing to improve services at the 32-lane toll plaza. The DGSCL had approached the court after the NHAI had issued a preliminary notice to it on Dec 7 last year.