"a further conversation" is a valid phrase that can be used in written English.
You can use it to refer to a conversation or discussion that is continuing or taking place at a later time. For example, "I look forward to a further conversation soon to discuss the details of the project."
Then Entwistle left the conference call and there was a further conversation.
"He had a further conversation with (chief executive) Peter Storrie last night and said he would go away and get back to us.
11.42am BST Following a further conversation with British Airways, it appears there was no compulsion - at least not from the UK law - on any airline to fly Yashika Bageerathi.
In fact Katz met No 10 chief of staff Ed Llewellyn at the Conservative Party conference on 4 October 2010 and had a further conversation about Coulson's involvement with hacking, as part of a wider conversation of the political scene.
Don't worry; you're not asking for much just a further conversation that, as your correspondent knows, will likely be productive for both of you.
I am keen however, now the season has finished, to have a further conversation with Alex and his representatives to understand his thoughts and give him the club's final position".
Olivia Okonek's father-in-law's impassioned support for Trump led Olivia--whose parents are Ukrainian immigrants--to put a ban on all further conversation about politics, telling him, "If we don't stop this conversation right now, our relationship is going to be damaged".
That's an argument which really stops any further conversation, frankly".
The giggling that followed precluded any further conversation.
"We did not give a quote to Yahoo! on this matter," he went on to explain, "and see no reason for any further conversation relating to it".
In so doing, Facebook instantly removed any further conversation about RSS.
