Possible measures include removing bishops, reforming seminaries and paying financial reparation to victims.
Chilean bishops told reporters on Monday they were heading into three days of meetings with Francis humbled, pained and shamed for their own errors in handling sex abuse cases by priests.
They said they wanted to listen to Francis and follow his lead in asking forgiveness.
A conference spokesman, Bishop Juan Ignacio Gonzalez, said "it's possible" that some Chilean bishops will resign but that it was up to the pope.
He said: "If he asks, we'll do it."
Francis summoned the bishops to Rome after receiving a report into an abuse cover-up scandal.
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