Without a Resident Permit, banks will refuse to open a salary account. Technically, it is possible to open a savings account but Qatari banks will be reluctant to do so if it is not linked to a salary account. Only exceptions are HSBC and StandChart who are generally ok to open a savings account if the holder has a good chance to get a RP. Overall, service is average, after trying HSBC, QNB and CBQ, CBQ is by far the best. I hear that Doha Bank is good, too.