Judicial discipline

The case in brief is that the Industrial tribunal passed an award holding the applicant as the employees of the establishment and directed to regularised them(they were contract labours) without back wages. Management preferred a Writ in high court challenging the award. Simultaneously the union has also filed a writ for back wages. Both writs are pending for disposal without any interim order. After few days union filed an application before the RLC(c) for implementation of the award.RLC(C) started discussion with both parties. Again after few days union filed another application before RLC(C) u/s 33C(2) of ID Act. My querry is whether the RLC can conduct proceedings while the very award is challenged by both parties in High Court? If no, any citation, rule position may please be provided & oblige.