We are concluding here and we even have no idea of the OP's business.
The outsourced processes fall squarely in section 6.3 of the ISO 9001 standard. Without knowing more about the nature of the business, speculation about how much control should be exercized over such outsourced processes is risky.
The type and extent of control to be applied to the outsourced process can be influenced by factors such as
a) the potential impact of the outsourced process on the organization's capability to provide product that conforms to requirements,
b) the degree to which the control for the process is shared,
c) the capability of achieving the necessary control through the application of 7.4.
a) the potential impact of the outsourced process on the organization's capability to provide product that conforms to requirements,
b) the degree to which the control for the process is shared,
c) the capability of achieving the necessary control through the application of 7.4.