The phrase "another round of conversations" is correct and usable in written English.
It can be used when referring to a new series or set of discussions or dialogues that are taking place, often after previous ones.
Example: "After the initial feedback, we decided to have another round of conversations to address the concerns raised by the team."
Alternatives: "a new series of discussions" or "another set of talks".
That triggers another round of conversations.
But Ms. Lavigne, then 16, balked, setting off another round of conversations between her managers and her label.
They start executing, then you have another meeting, find out things were not completely as you'd agreed, and you have another round of conversations.
Then, rather than issue directives, I'd distribute the list in another round of conversations or emails, asking family members to suggest ways to get everything accomplished.
As our country engages in yet another round of conversations on abortion and the moral implications of this Supreme Court decision, we will continue to lift up our voices in faith communities and society.
At the end, we videotaped another round of short coaching conversations, which were again evaluated by both peers and coaching experts.
After another round of margaritas, the conversation turned toward one of the Donnas' favorite topics besides food and hair: groupies.
He told me that prior to the sale he had been looking for another round of funding, but a conversation with Venturian turned into an acquisiton.
Just a few days after the release of the Wilson Legacy Review Committee's report stirred a new round of conversations about race relations on campus, the University received some welcome news from an unexpected source.
Some experts said the decision could pave the way for a new round of conversations between Cuba and the United States about the case of Alan Gross, an American contractor who has been held in Cuba since 2009 for bringing illegal telecommunications equipment to the island.
A recent round of conversations with officials in the Elysée Palace and the finance and foreign ministries made clear that Hollande knows well that a strong Franco-German relationship is indispensable to sorting out the problems of the euro zone in particular and the E.U. in general.
