SALC believes that justice is best done within domestic legal systems and is committed to supporting domestic judicial processes. However, where domestic courts cannot offer any meaningful form of justice, SALC supports the use of international criminal justice processes to afford victims redress and to hold perpetrators to account.

To that end, SALC has called upon South Africa's National Prosecuting Authority to investigate, with a view to prosecuting, senior Zimbabwean offcials for the commission of crimes against humanity. South Africa has jurisdiction to do so under its Implementation of the Rome Statute of the International Criminal Court Act 27 of 2002.  

SALC has also facilitated a campaign, including the preparation of court papers, to ensure the arrest and surrender of President al-Bashir of Sudan to the International Criminal Court(ICC) in the event that he attended South African President Jacob Zuma’s inauguration.

Together with the Institute for Security Studies and the International Centre for Transitional Justice, SALC has also coordinated the recent South African and African-wide initiatives to protest the recent AU decision at Sirte which determined to withhold co-operation from the ICC in respect of the arrest and surrender of al-Bashir.

On 30 July 2009 , South Africa's International Relations director-general Ayanda Ntsaluba announced that while South Africa had reservations about the case against the Sudanese president, al-Bashir would be arrested if he entered South African territory.