Cobit(r) and ITIL(r)
ITIL pertains to IT service management whereas COBIT pertains to security i.e. ITIL has a narrower focus than CobiT but they do overlap in some areas. ITIL addresses IT service delivery. CobiT addresses this as well, but in less detail.
ITIL has some guidelines for service management and service delivery processes. Not complete processes, and not for all areas of IT and certainly not for all areas of the company. CobIT are the control objectives which you can use to see if the processes are followed.
COBIT provides alignment between business goals/financial goals objectives and planning of policy, procedure and process for over all IT infrastructure - ITIL is focused on Service Delivery and Service Level Management.