Accepting Unsolicited trades in a trust department of a commercial bank

Hello all, my apologies if this has been asked before or if this is the wrong section for this question. I tried doing so preliminary research, but I did not find any results.

My question pertains to regulation of unsolicited trades, in particular who at a firm can accept them. In my job function I work on the phone and in email inbox accepting and placing unsolicited trades for the bank’s clients. However, I am not registered with finra. Every time I approach my boss about having the bank sponsor me he says I do not need it, and the bank will not sponsor me. However I’ve studying to take the SIE because I want to move on from this job, and I’ve been seeing inconsistencies from what is in the SIE material and what my boss has told me.

Do I need to hold a series 7 if I am accepting unsolicited trades from clients while working in a trust department of a commercial bank, or am I ok since we are not regulated by finra?

Thank you for any and all input.