The São Paulo attorney general's office said the case was suspended due to a lack of evidence, but will be sent to prosecutors for a final decision.
Neymar has denied the accusations, saying he is being extorted.
A spokesman for Neymar told AFP that he was not able to comment on the police decision.
The case has gripped Brazil, where it has dominated newspaper headlines.
It first came to light in June, when the Paris St-Germain star released a seven minute video on Instagram revealing that he had been accused of rape. He also published Whatsapp messages and images that he claimed to be of the woman.
In the video he says he had to make them public to "prove that nothing really happened".
Ms Trindade then went public, giving a television interview and releasing footage and a video clip purportedly showing an altercation between the two.
Police later filed a defamation suit against Ms Trindade, who allegedly insinuated the force was corrupt, according to news agency AFP.
The model was also dropped by several lawyers.
Prosecutors now have 15 days to evaluate the case before a judge makes a final ruling.
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We offer majorly two types of advertising:
1. Sponsored Posts: If you are really interested in publishing a sponsored post or a press release, video content, advertorial or any other kind of sponsored post, then you are at the right place.
WHAT KIND OF SPONSORED POSTS DO WE ACCEPT?
Generally, a sponsored post can be any of the following:
Press release
Advertorial
Video content
Article
Interview
This kind of post is usually written to promote you or your business. However, we do prefer posts that naturally flow with the site’s general content. This means we can also promote artists, songs, cosmetic products and things that you love of all products or services.
DURATION & BONUSES
Every sponsored article will remain live on the site as long as this website exists. The duration is indefinite! Again, we will share your post on our social media channels and our email subscribers too will get to read your article. You’re exposing your article to our: Twitter followers, Facebook fans and other social networks.
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Submission of Materials : Sponsored post should be well written in English language and all materials must be delivered via electronic medium. All sponsored posts must be delivered via electronic version, either on disk or e-mail on Microsoft Word unless otherwise noted.
PRICING
The price largely depends on if you’re writing the content or we’re to do that. But if your are writing the content, it is $60 per article.
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