DataProvider based TestNG tests are improperly reported

I write quite a lot of DataProvider tests.
In essence, this means the same test method is executed multiple times, with different parameters.
TestNG reports them as:
myTestMethod("First param")
myTestMethod("Second param")
myTestMethod("Third param")

However, Bamboo seems to only take the test method name into account, not the params.
As the result, if the test fails for the "Second param", I get the report only for the first ("First param") execution