This paper reports on the use of the Mitkov ́s algorithm for pronoun resolution in texts written in Brazilian Portuguese. Third person pronouns are the only ones focused upon here, with noun phrases as antecedents. A system for anaphora resolution in Brazilian Portuguese texts was built that embeds most of the Mitkov’s features. Some of his resolution factors were directly incorporated into the system; others had to be slightly modified for language adequacy. The resulting approach was intrinsically evaluated on hand-annotated corpora. It was also compared to Lappin & Leass’s algorithm for pronoun resolution, also customized to Portuguese. Success rate was the evaluation measure used in both experiments. The results of both evaluations are discussed here.