PurposeA model on the cognitive elements of engagement is adopted and content analysis, along with sentiment analysis, has been used to explore the post characteristics and the levels of stakeholders' interactions in controversial and non-controversial European industries through three Poisson regressions. At last, an ANOVA test has been used to check the level of interaction regarding the coronavirus disease 2019 (COVID-19)-related aspects.Design/methodology/approachThe intrinsic characteristics of controversial industries cause the stakeholders’ skepticism about their corporate social responsibility (CSR) strategies. This results in the need to elaborate proper involvement strategies to approach industries' stakeholders. Such need has assumed relevance during the COVID-19 crisis and has traced a certain border between the companies that are more sensitive to the social side of the surrounding environment and the ones that are less involved in risky sectors. The present paper aims to understand the role of social media in stakeholder engagement, and social media's characteristics, and tries to elaborate on companies' CSR communication readiness to the challenges shown by the pandemic.FindingsThe study reveals how the success of stakeholder engagement in CSR communication is affected by both controversial sector membership and the characteristics of the posts such as the inclusion of the sustainable development goals (SDGs). In addition, the study emerges how the European companies have focused on social aspects in companies' communication, revealing a certain readiness for the COVID-19 challenges.Practical implicationsBuilding on a model of cognitive elements of engagement, the present study provides useful insights for companies' next engagement strategies on social media. Moreover, the thematic analysis provides a benchmark for the improvement of current corporations' communication strategies in light of the pandemic effects.Originality/valueThis paper contributes to the literature by investigating the role of Twitter as a stakeholder engagement tool and identifies the drivers for an effective Twitter content strategy. Moreover, the paper provides a useful proxy for current and future research on the COVID-19-related CSR communication.