Committing an offence that harms another individual may sometimes result in interpersonal conflict. To resolve such conflict, the transgressor may attempt to make amends by offering an apology. The likelihood of apologizing for a transgression and expectations that the victim would move on without an apology may depend on the social relational context in which the transgression occurs. Although previous cross-cultural studies on apologies and forgiveness have examined differences between individualistic and collectivist cultures, there is a major gap in research studies that explore differences between Western and South Asian cultures in specific. In an exploratory study (N = 197) featuring 102 American and 95 Indian participants, we asked whether people would apologize for their transgressions in different hypothetical situations. We elicited their beliefs about (i) the victim moving on without an apology, (ii) the victim being upset because of the transgression, (iii) the offence posing a threat to the relationship, and (iv) their motivation to maintain their relationship with the victim. We found that Americans were 5.5% more likely to apologize than Indians. We detected no significant cross-cultural differences in the transgressor’s beliefs that the victim will move on without an apology. We also found a significant gender effect: Men were 3.8% less likely to apologize than women, irrespective of the country of the transgressor. In addition, our findings suggest that there might be larger variations in the likelihood to apologize within both the cultures, rather than across both the cultures. These findings might inform future studies on resolving interpersonal conflict in response to an offence.