The description of the monk's class feature Diamond Soul says the following:
Beginning at 14th level, your mastery of ki grants you proficiency in all saving throws.
Additionally, whenever you make a saving throw and fail, you can spend 1 ki point to reroll it and take the second result.
Does the Diamond Soul feature allow you to apply your proficiency bonus to your death saving throws?
Normally you're only able to gain proficiency in saving throws that have an ability score associated with them, and thus are unable to apply them to death saving throws, but this ability explicitly says that you gain it with "all saving throws".
Best Answer
Yes, Diamond Soul applies to death saving throws
Your concern is probably this sentence from the rules on saving throws (PH, p. 179):
You are reading this as implying that the proficiency bonus can only be added to a saving throw made using some particular ability score. And, it is true that since the death saving throw isn't tied to any ability score, no character can be proficient in it due to a "normal" ability-linked saving throw proficiency. But:
While Jeremy Crawford's tweets are not official rulings unless incorporated into the Sage Advice Compendium (and this is not included as of SAC v2.6 (2020)), this Crawford tweet from January 2016 indicates that he agrees that "all saving throws" means what it says: