To begin this quest, you will need to have first completed three Tribunal Temple pilgrimages at some point in your playthrough, such as the three mentioned by Nalvs Andolin.
The check to convince Ulmon is influenced by several factors - your fatigue, personality, speechcraft and luck (with higher stats being better) and his disposition towards your character.
At high disposition, Ulmon will confess that he originally intended to give his fortune to his estranged daughter in Cyrodiil, but Nalvs talked him into giving it to the Temple instead.
The following Journal ID and Index codes can be used with the Journalconsole command to manually update the quest to a certain point.
Wellness Check (TR_m4_TT_WellnessCheck)
Index
Finishes Quest
Journal Entry
10
I am to visit Ulmon Vathri in Omaynis and make sure that he is well.
20
Ulmon Vathri wants a cure for greed. I am not sure if such a thing exists, but he seems convinced that a simple potion should suffice.
25
Ulmon Vathri is adamant that he needs a potion to cure him of his greed, and suggested I talk to Nalvs Andolin about it if I don't believe him.
30
I have given Ulmon Vathri a potion of cure common disease, and he seems satisfied. I should report back to Nalvs Andolin in Bal Foyen.
40
I have convinced Ulmon Vathri that he did not need a potion to face his ancestors. He seems at peace now. I should return to Nalvs Andolin in Bal Foyen.
100
Finishes quest
Nalvs Andolin thanked me for checking on Ulmon Vathri.
101
Finishes quest
Nalvs Andolin thanked me for checking on Ulmon Vathri.