General use accounts, which are the ones that we all normally have in banks such as Davivienda and Bancolombia, can be opened to non-residents for daily use issues, but in those accounts, you will not be able to disburse credits in COP or carry out mandatory exchange operations, only are allow some exceptions, therefore, for purposes like foreign direct investment and certain indebtedness, an account determined as exclusive use will be required.
This is not legal advice, only general information.