Dilute HCl would also be suitable, and make the solubility higher. Infact, most solutions containing chloride ions (e.g. NaCl) would also work due to formation of tetrachloropalladate (II) complexes.
As shown in the attached Pourbaix diagram for palladium cation Pd (2+), for safe maintenance of the aqueous solution he required a pH not higher than about 2. It seems, that the dissolution of palladium chloride in the 0.05-0.1 M HCl provide an appropriate environment.
Dissolve in alone water I do not recommend - this is too risky.
Hi Andrzej - Sorry if my answer seemed vague (in light of the fact I do not have such easy access to Pourbaix diagrams from where I am at the moment, and it is quite a low concentration he requires), thank you for providing the relevant diagram.
Zakuan - there you have it, use dilute HCl as mentioned before to ensure dissolution. Glad we could help.