First do yhou know Spanish? If not you can use the services of an agency in Buenos Aires for your research objectives. Please advise.
There is a website that shows 20+ Zima surnamed persons arriving in Argentina as immigants www.CEMLA.com/busqueda.html and just put in ZIMA and the numbers will show up and scroll down for requestingand making application for the information you seek.
There are 86 ZIMA listed in the telephone directory for Argentina at www.numberway.com and perhaps those with first names familiar to your family may be related to you. Petertimber