After a horrible murder of a teenage girl in the outskirts of Panevėžys, northern Lithuania, reinstatement of death penalty was proposed by the ruling Order and Justice party.
Meanwhile Gedvilas of the Labor Party said he "may raise a hand" in support of the proposal.
"When such things happen and you see such criminals committing such horrific murders, I think it is necessary to give very serious thought to capital punishment," Gedvilas said in an interview to Žinių Radijas news radio.
"If I had to vote, I may raise a hand in support of such a law," the parliamentary speaker added.
Lithuania has ratified the protocol of the European Convention for the Protection of Human Rights and Fundamental Freedoms on elimination of death penalty, while the Constitutional Court has ruled that the penalty violates the country's Constitution.
The European Union is also strongly against death penalty. Lithuania is holding EU Council presidency in the second half of this year.