What is the correct (or at least the most natural) way to say this?
There is no longer any conflict...
or
No longer there is any conflict...
What is the correct (or at least the most natural) way to say this?
There is no longer any conflict...
or
No longer there is any conflict...
The first one is best. The second is incorrect but could be made acceptable by swapping the words "there" and "is":
"No longer is there any conflict".
However, this is a more archaic word order that would not normally be used, so it would make you sound odd and overly formal. The first option: "There is no longer any conflict" is what most native speakers would use. -- MarielS