It seems to me there is no need for you connecting this action to the project: it is already connected to it by its own nature. You maybe mean if you should anotate it at the project support material... well, this is a formality, if you have many projects going on simultaneously then may be it is a good idea to write it down there too, so at your weekly review it is on your face.
Furthermore, if the desired result is "Secure order from Client ABC for new phone system", then the first three actions you mentioned were a first subproject: "Present First Quote to X RE new phone system". The subproject is done, but not yet the project. If this is the usual flow in your job, then you know that a project has different stages. Some of them might be subprojects for you, others "waiting-fors".
This is a common flow for translations and the writing industry in general (one of my ocupations). Usually before a major piece is published it passes several editing cycles.
I guess this also applys for sells, which in fact is a dialogue between you and your client. If this is not an exceptional case for you, then you probably know beforehand that "Secure order from Client ABC for new phone system" will have different stages, and "Present First Quote to X RE new phone system" will be only one of them.