1. Section 3(1) of the Competition Act applies extraterritorially to economic activity having an effect within South Africa, based on a 'direct, substantial and foreseeable effects' test. The presumption against extraterritoriality does not override this clear statutory provision. 2. The common law requirement of personal jurisdiction must be developed to align with the purposes and scope of the Competition Act. Where there are adequate connecting factors between the parties and the jurisdiction, and the conduct has direct, substantial and foreseeable effects in South Africa, personal jurisdiction can be established over peregrini without the traditional requirements of domicile, carrying on business, submission or attachment. 3. In cases involving alleged participation in cartels or overarching conspiracies affecting the South African economy, adequate connecting factors may be established by showing the relationship between all parties (including peregrini and incolae) and the anti-competitive conduct. 4. Once jurisdiction is established, the Tribunal has power under section 58 to make appropriate orders, including declaratory orders. However, where a tribunal finds it lacks jurisdiction, it has no power to make any order.