Investors spend money and resources trying to reduce the environmental, social and governance risks in companies they own. If unattended, these risks may cause reputational damage not only to the portfolio firm but also to its owner. In this article, we study five Swedish national pension funds and the influence strategies used in shareholder engagement. Knowledge about influence strategies is important because successful shareholder engagements can lead to more sustainable corporate behaviour and a lower risk to the investor. In addition to the traditional power and legitimacy dependencies that have been reported as influential in deciding stakeholder salience, our findings reveal five additional factors useful for determining influence strategies in shareholder engagement. We provide a conceptual model showing how these factors interlink with choices of influence strategies, offering a practical use of this study. Stakeholder theory has been used as our theoretical frame of reference, based on existing influence strategy literature using a stakeholder–firm perspective.