The Archbishop of Canterbury, Most Rev Justin Welby is said to be "committed to ongoing dialogue" with the Global South Fellowship of Anglican Churches (GFSA) following controversy surrounding the issue of sexuality
Most Rev Justin Welby met with Archbishop of South Sudan, Most Rev Justin Badi on Saturday to discuss several announcements the group made on Friday.
During a press conference, the GFSA said it would be publishing its own Lambeth Resolution - which reaffirms marriage between a man and a woman - for bishops to sign during the Anglican Communion Plenary session on 1st August.
It followed an edit of the 'Call on Human Dignity' which removed the traditional view of marriage.
It had been previously reported that the Archbishop of Canterbury had offered to write a letter that re-affirms Lambeth 1:10, during the meeting on Saturday.
But a Lambeth Palace spokesperson has said they won't be commenting "on speculation from unnamed sources not present at the meeting".
"We won't be commenting on speculation from unnamed sources not present at the meeting, other than to say that these should not be seen as reliable accounts of a conversation between primates conducted in the spirit of prayerful dialogue."
The spokesperson said the meeting was a "constructive conversation in a spirit of mutual listening about the concerns that the GSFA has already publicly shared".
"The Archbishop remains focussed on the Lambeth Conference and committed to ongoing dialogue to ensure that we continue walking, listening and witnessing together in shared discernment of our calling to be God's Church for God's world," it concluded.
Paul Eddy, spokesman for Archbishop Justin Badi said: "From the start, GSFA has publicly, and privately been respectful of the difficult position that the Archbishop of Canterbury is in, but this letter simply states what has been the case since 1998 and the Lambeth 1.10 Resolution.
"On its own it is not significant, but we're grateful for it as part of the process of the GSFA giving bishops an opportunity to reaffirm Lambeth 1.10, this week. As an evangelical, we very much hope the Archbishop will be the first to sign up to our Resolution, and give a strong and clear lead."
The GFSA has also pledged to protest the decision to alter the 'Call on Human Dignity', which serves as a motion of sorts. That came after progressive bishops complained that the call excluded those who supported LGBT rights within the Church.
On Friday the GSFA also announced that associated bishops will abstain from receiving Holy Communion during services at Canterbury Cathedral for which same-sex partners of bishops are invited to attend.