But he said he was inspired immediately after the election when he thought about wars.
St. Francis of Assisi, the pope said, was "the man of the poor. The man of peace. The man who loved and cared for creation — and in this moment we don't have such a great relationship with creation. The man who gives us this spirit of peace, the poor man."
"Oh how I would like a poor church and a church for the poor," Francis said, sighing.
He then joked that some other cardinals suggested other names: Hadrian VI, after a great church reformer — a reference to the need for the pope to clean up the Vatican's messy bureaucracy. Someone else suggested Clement XV, to get even with Clement XIV, who suppressed the Jesuit order in 1773.
The gathering in the Vatican begins a busy week for the pontiff that includes his installation Mass on Tuesday.
Among the talks, the Vatican said Saturday, will be a session with the president of Francis' homeland Argentina on Monday. The pope has sharply criticized Christina Fernandez over her support for liberal measures such as gay marriage and free contraceptives.
But the most closely watched appointment will be Francis' journey next Saturday to the hills south of Rome at the papal retreat at Castel Gandolfo for lunch with Benedict XVI, a historic encounter that brings together the new pope and the first pope to resign in six centuries, which set in motion the stunning papal transition.
The Saturday meeting between the two will be private, but every comment and gesture on the sidelines will be scrutinized for hints of how the unprecedented relationship will take shape between the emeritus pontiff and his successor.