Relying only on information you find in English is not a good strategy. You will need Spanish.
This article says the first step is to contact the agency, Dirección General de Material Bélico (DIGEMABEL or also DIMABEL):
https://tramitesclaros.com/como-solicit … -paraguay/
That agency is here:
https://dimabel.mil.py/
They have an email address at the bottom of the page to contact them.
Several other articles also outline the complicated procedure and pre-requisites for the porte y tenencia of arms.
https://consultparaguayonline.spaziotec … -de-armas/
https://www.ultimahora.com/registro-leg … r-n3017069
Keeping and bearing of arms in Paraguay is controlled by Law 4036 (Ley Nº 4036). You may read it here in its entirety:
https://www.bacn.gov.py/leyes-paraguaya … s-y-afines
There are sporting clubs for hunting in Paraguay. You should get in touch with them to possibly get more information about legally obtaining and carrying firearms. You could do an internet search for
paraguay clubes organizaciones caza deportiva