Suica (62) served three terms as a member of the Croatian Parliament from 2001 to 2011. Since 2004 she has been elected Vice-President of the Council of Europe's Congress of Local and Regional Authorities for five times in a row.
In October 2012 Suica was elected vice-president of the association of women of the European People's Party (EPP). In April 2013 she was elected a member of the European Parliament and was re-elected in May 2014 and May 2019. She served as Vice-Chair of the Foreign Affairs Committee and the Delegation for Relations with Bosnia and Herzegovina and with Kosovo. In June this year she became Vice-Chair of the EPP group, the largest political grouping in the European Parliament.