Ansip will be meeting with his Finnish counterpart Matti Vanhanen to talk about the EU constitution as well as policies on energy and the environment. The two are also to discuss other bilateral and regional issues.
Ansip will also pay a visit to President Tarja Halonen and Parliamentary Speaker Sauli Niinistö.
The 50-year-old Ansip, a former mayor of Tartu, has been in office for just over two years. He is the chair of the Estonian Reform Party, which won elections in March.