Apple is asking the INPI to cancel Gradiente's registration through expiration - it is arguing that the Brazilian firm did not use the name within a five year limit.
On Feb. 5, INPI will publish its decision on the matter in the Industrial Property Magazine, which services as the official bulletin of record for trademark and patent protection.
"I can confirm that INPI published today its decisions about eight trademark applications related to iPhone, from Apple: four applications were rejected and other four were approved, " said the agency's spokesman Marcelo Chimento.
The Institute of Industrial Property (INPI) told the BBC that its decision only applied to handsets, and that the California-based company continued to have exclusive rights to use the iPhone name elsewhere including on clothing, in software and across publications.