The latest opinion poll shows support for Sinn Fein hasn't been hugely affected by the party leader's arrest.
Gerry Adams is being questioned by the PSNI in connection with the death of Jean Mc Conville in 1972, he's always denied any involvement in her disappearance and killing.
The RED C survey for the Sunday Business Post shows Sinn Féin can challenge for a seat in each of the three European constituencies - but transfers will be a problem for them.
The research was conducted between April 28th and May 1st.
Pat Leahy is Political Editor with The Sunday Business Post.