CanI get a copy of a recording of a conversation between myself and a representative of a company?
First, of course, you can ask them for one--and offer to pay the cost of transcribing/re-recording it and sending you a copy if any.If  that doesn't work, the only way to get the recording would be in a lawsuit--if they sue you, such as for not honoring the agreement or not paying the debt, or you sue them for some reason, such as because you believe they are harassing you, defrauding you, or trying to hold you to an agreement you never made, then in that case, you can use  the legal process of "discovery" (e.g. document requests, interrogatories, subpoenas) to get the recording. But there is no way to force them to give you a copy outside of a legal action, though, as noted, you can always simply ask.