More than 200 000 employees affiliated to the National Union of Metalworkers of South Africa (Numsa) downed tools on July 2, demanding 12-15% wage increases.
The stoppage has disrupted the supply of car parts and affected construction work at two crucial power stations for state utility Eskom.
At Tuesday's meeting, Numsa is due to hear a response from the Steel and Engineering Industries Federation of South Africa on a wage proposal put forward by the union at the weekend, Numsa spokesperson Castro Ngobese said.
"If they agree to it, then we must go to our members and indicate to them that this is how far we've gone as a union," Ngobese said.
He declined to give details of the proposal. Numsa has already rejected a pay increase offer of between 9% and 10%.
The industrial action has dealt a further blow to the ailing economy, coming almost immediately after a five-month strike by miners in the platinum sector.