Is the word reembolso the same in Brazilian and European Portuguese?

Yes.

The meaning, spelling, and grammatical function of "reembolso" are identical in both Brazilian and Continental Portuguese. The only difference is in pronunciation. In Brazil, the vowels tend to be more open and the rhythm is more syllable-timed, making the word sound more melodic. In Portugal, the unstressed vowels are more closed (and sometimes almost silent), and the rhythm is more stress-timed, making the word sound more clipped.

Brazilian Portuguese (using "reembolso")

1. Eu solicitei o reembolso da minha passagem de avião. (I requested a refund for my plane ticket.)
2. O reembolso será feito através do Pix. (The refund will be made via Pix.)
3. A loja prometeu o reembolso em até dez dias úteis. (The store promised the refund within ten business days.)
4. Você tem direito ao reembolso se o produto apresentar defeito. (You are entitled to a refund if the product is defective.)
5. Onde eu posso consultar o status do meu reembolso? (Where can I check the status of my refund?)

Continental Portuguese (using "reembolso" or "devolução do valor")

1. Solicitei a devolução do valor pago pela encomenda. (I requested a refund of the amount paid for the order.)
2. O reembolso das despesas de viagem será processado brevemente. (The reimbursement of travel expenses will be processed shortly.)
3. Gostaria de pedir a devolução do dinheiro desta compra. (I would like to ask for a refund for this purchase.)
4. O processo de reembolso da taxa é bastante demorado. (The process for the refund of the fee is quite slow.)
5. O cliente tem direito ao reembolso total em caso de cancelamento. (The customer is entitled to a full refund in case of cancellation.)