From 1999, Flemming served on various European Union-related delegations, committees and groups, including the Committee on the Environment, Public Health and Consumer Policy, and occasionally as a substitute on the Committee on Women's Rights (a precursor to the Committee on Women's Rights and Gender Equality) and the Committee on Research, Technological Development and Energy.[2]
Flemming also held views on human cloning in line with that of the other Christian Democrat members of the European Parliament. In 2003, she tabled more than 80 amendments[6] in the European Parliament to further restrict cloning research in European Union member states, suggesting the use of adult stem cells in research as opposed to embryos.[7] Flemming was reported by The Telegraph as saying that the creation of embryos for the purpose of medical treatment is immoral because the "individual characteristics of a person" are created at the moment of conception.[6]
In 2016, Flemming was a member of the Executive Committee of the European Seniors' Union.[9] In 2017, she was a representative of the Austrian Senior Council.[10]