Denti said "Anyway, to stay in the circuit you need a rather pressing issue in which case the non normal immediate landing (formerly called immediate return) checklist applies, which indeed does not require to clean up the aircraft. For a normal engine failure there is usually no time critical problem and it's best to just fly the standard procedure, do all the checklists, FORDEC, performance calculation (OEI landing climb limit has to be checked before departure in low vis to decide if you need a take off alternate or not), and then set up for an approach back."
Denti- it sounds like your company has re-written the Boeing QRH? What is FORDEC? and Boeing do not have a "non normal immediate landing (formerly called immediate return)" checklist so I guess that is a company specific one? Additionally even with a 737-800 if you have taken off from a 10,000' runway there is really no need to do a performance calculation. Sometimes it is easy to overcomplicate the situation (IMHO).