Responsible research practices are critical to maintaining integrity in research and the provision of institutional trainings is an important means of promoting research integrity. However, studies show contrasting results on the efficacy of institutional training and that these approaches may not be fully effective in promoting research integrity among individuals and improving the overall climate in research integrity. Therefore, a more comprehensive multi-dimensional learning strategy seems to be needed. This includes continuous and tailored training at different institutional levels, the incorporation of training sessions focusing on the development of the moral character of researchers, and the use of different mentoring practices. With this comprehensive approach, research institutions can foster a culture of integrity in research, improve the overall research integrity climate and promote responsible research practices by individuals.