In the "good old days", we here in the USA used to use commonly understood NEMA classifications for things like this. So in the old "NEMA Pilot Duty" system, the Engineer would have likely called out for NEMA B300 or C150 ratings (assuming AC), something like that. That would have then immediately classified the Make, Break and Thermal design criteria as well as the voltage. The letter was the contact current rating, the number was the maximum RMS votlage.
A = 10A Thermal (aka continuous), 60A make, 6A Break;
B = 5A Thermal, 30A Make, 3A Break;
C = 2.5A thermal, 15A Make, 1.5A Break.
The 150 / 300 / 600 after the letter was the maximum RMS votlage.
So a NEMA C150 would be closest to what your spec asks for.
Now however, because NEMA ratings mean nothing outside of North America, manufacturers make whatever the heck they think they can get away with and no longer design TO a specification. They design first, usually to an ECONOMIC criteria, then test and label according to any industry ratings they happen to meet, or simply ignore them if they don't meet or exceed them. So for example I have looked at one mfr who shows the same style relay as having a C300 NEMA rating, but they claim that the Thermal is 7A in one version, but 10A in another version (different part numbers). So what that means is that they are FIRST claiming that the two versions are 7A and 10A, but when subjected to a standardized test criteria, such as the NEMA Pilot Duty ratings, then neither of them passes anything more than NEMA C300, which is only 2.5A Thermal, 15A Make, 1.5A Break at 300VAC RMS. Bottom line, the 7A or 10A thermal rating, to them, means nothing against a standardized design criteria, so you are on your own as to whether you believe it or not. It may be that they EXCEED the thermal design criteria for NEMA B300, but only by virtue of their own test criteria, which you will not know. But as far as it's switching capacity, it must not have exceeded the B300 design criteria, otherwise they would have said so.
So what your specifying engineer has done is to say "I don't really care what marketing terminology spin your supplier uses to describe the thermal rating of the contacts, because I know that is somewhat nebulous anyway. Instead, I insist that they at LEAST be capable of Make 10, Break 1.5.".
"Will work for (the memory of) salami"