Connie Yates discussed on Tuesday morning the condition of her son with the pair, as well as a team of medics from Great Ormond Street Hospital where Charlie is receiving care.
Speaking to Premier, Rt Rev Christine Hardman said: "This is one of the most sad situations that any parent could find themselves in. We must avoid telling God what to do.
"This is so complex and it's so heart-breaking that all I think is to make our prayer that God would grant wisdom and mercy to Charlie Gard's parents and to little Charlie himself, and to all those who are caught up in having to make such momentous decisions."
One of the two international experts is Michio Hirano, a professor of neurology at New York's Columbia University Medical Centre. Owing to media reporting restrictions, the identity of the second expert cannot be revealed.
Mr Hirano, who has been given full access to Charlie Gard's medical records and an opportunity to examine the youngster, spent four and a half hours at GOSH on Monday.
An independent chairman was also present at the meeting on Tuesday. Details of the meeting are likely to remain a secret as doctors and researchers taking part are bound by patient confidentiality.
Previous attempts at the High Court, the Court of Appeal and the Supreme Court to have Charlie Gard taken to the US for experiment have failed.
A High Court judge has since heard the couple's latest claims during preliminary hearings. He's due to hold further hearings later this month.
Medics at GOSH believe life-support care for Charlie, who is living with a rare genetic condition, should be stopped because treatment will not work.