Can a bounced cheque be presented to the bank again in the UAE?

Yes — you can present the same cheque again, and doing so does not weaken your position. A cheque remains valid for presentation for six months from the date written on it, and within that window you may deposit it more than once; the bank does not retry automatically, so re-presenting is your decision each time. Two features of the current system work in your favour. First, partial payment: if the account holds some funds but not the full amount, the bank is required to pay out what is available if you accept it, and to issue a certificate for the unpaid balance. Second, enforcement: the bank's certificate of non-payment makes the cheque directly enforceable — you can take it to the execution court to pursue the debt without a full civil trial. Criminal liability now arises mainly in bad-faith situations, such as cheques drawn on closed accounts. Practically: keep the original cheque and every return certificate, give the customer his week if you wish, and send a written demand in parallel so a deadline exists on record. If the funds do not arrive as promised, a lawyer can move the execution route forward quickly.