The strike is the second in the past month at Sierra Rutile following a week-long stoppage in October that led Iluka to cut its output forecast of rutile.
Most workers at Gold Fields' struggling South Deep mine have been on strike since Nov. 2 over the company's plans to cut around 1,100 jobs, or 30% of its workforce.
La Mancha is a private gold company with investments in Toronto-listed Endeavour Mining, Australia's Evolution Mining and Ghana-focused Golden Star Resources.
Minister of Mines and Mining Development, Winston Chitando told Reuters there would be "no change" for diamonds and platinum when asked about industry speculation the indigenisation rules could be relaxed further.
China's steel prices tumbled more than 5% to a five-month low as persistent worries over weaker demand pushed the sector into a bear market, sparking a selloff in raw materials iron ore and coking coal.