For many in Italy, the choice is already clear, according to John Allen, CNN's senior Vatican analyst.
"Around the dinner tables today in Rome, Cardinal Angelo Scola has the pole position," Allen said Monday.
Scola, an Italian, is the archbishop of Milan.
Canadian Cardinal Marc Ouellet, who heads the Vatican's office of bishops, is also a likely frontrunner, said Allen. And Cardinal Leonardo Sandri, an Argentinian who works as the Vatican prefect overseeing eastern churches, is well-known for his leadership and administrative skills, Allen said.
Another top contender for the papacy could be Cardinal Peter Turkson of Ghana, said Woodard, the managing editor of the International Journal of African Catholicism. The 64-year-old cardinal currently heads the pope's council for justice and peace and has experience working with people of different faiths, Woodard said.