I have rarely worked with Palladium, and am more familiar with the reactions of silver.
Lets look at dissolving silver.
Too concentrated of an acid will actually slow the process.
Even in more dilute acid, there can be a delayed reaction.
What I believe happens is the silver first passivates with an oxide layer as the silver is oxidized by the nitric, at the same time some of the nitric in solution begins to form NOx gases, It is these NOx gases in solution, from the decomposition of nitric that help attack and are what combine with silver to make silver nitrate as the nitric is reduced (by oxidation of the silver) to nitrates, after this delayed reaction, the reaction becomes more violent, somewhat I believe from the heat produced, but also from the decomposition of the nitric acid itself, silver oxide layers are dissolved faster by the production of more of these gases, and there is so much of these gases in solutions oxidizing and themselves reducing with the silver the silver no longer is in a state of passivisation but is quickly being dissolved into the solution with the help of the water.
Note here also water can help to keep quite a bit of these gases in solution NO2 in this water can convert back to HNO3 instead of leaving as a red brown cloud of wasted nitric acid and gas that had the possibility to do more work, Note sometimes I add a bit of H2O2 with the water, this can help to provide oxygen in solution, so that NO gas can form NO2 in solution with the water (the idea is help the nitric go further keeping these gases in solution and working on the silver.
After most of the nitric is consumed in this violent reaction, the reaction will slow to a crawl, although there is still quite a bit of free nitric acid in solution, this may be because the heat of the reaction is not as strong, or for some other reason it slows to a crawl, heating the solution at this point will dissolve more silver into solution the heat helps the reaction proceed faster, heat makes the acid in this silver salt solution stronger, and heating can drive off water as the reaction continues helping to concentrate the nitric left, I find I can put an awful lot more silver into solution in this latter process using heat.
Most of the time we recommend diluting your 70% HNO3 with equal volumes of water, nitric is expensive for me and hard to obtain easily, to make my nitric go further many times I will dilute mine quite a bit more (to help keep gases in solution), this may take me a little longer to dissolve the silver, but time is cheaper than nitric for me, I will also add a little H2O2. and use heat after the initial reaction to dissolve the silver, with this process I can completely react all of the nitric acid as long as I have some silver left in the end, so many times I try to limit the amount of nitric I use compared to the amount of silver involved and add small portions of dilute nitric towards the end of the process, to put some more of that excess silver into solution.
I do not know how well I explained this, but diluting your nitric and using heat at the end of the process to consume the nitric acid (leaving some silver at the end) will consume the nitric acid, when done right you can load the remaining water solution with quite a bit of dissolved silver nitrate salts.