We can't answer accurately without knowing the name you're using and which jurisdictions each company operates in. Even then, it's just speculation unless it goes to court.

That said, don't get legal advice from internet strangers. A lawyer can do a name search for you for less than $200. You should start with a name search in the future.

From the insufficient details and with the caveat that I'm not a lawyer, I don't see any way you can use this name.