He is said to have rubbed the behinds of females and touched their “intimate parts”.
A former friend of his was arrested after the Cologne mass sexual frenzy, Bild newspaper reported, leading to suspicion he may have been with him before travelling to France.
Salihi was shot dead as he approached a Paris police station last week with a fake suicide vest on the first anniversary of the Charlie Hebdo massacre.
He had been living in an asylum home in Recklinghausen, Germany, where police found he used seven aliases.
“We don’t know who the man really is,” said Uwe Jacob, director of the local state criminal office probing his background and movements in Europe.
In France he said he was 20, Moroccan and called Tarek Belgacem. He also pretended in turn to be a Georgian and a Tunisian.
He had been apprehended by police three times during his short time in Germany.
He sat in police cells for drug possession, causing bodily harm, threats, thefts and unlawful weapons possession.
“All non-believers were ‘worthless’ to him and had to die.”
But using his various aliases he managed to avoid being deported.
On the 7 January 2014 he registered in Germany and the following month again in Romania. On March 17 last year he registered in Sweden and in August in Germany again, in Recklinghausen.