"The establishment of a national body, as a competence center dealing with religious issues of national importance from both cantonal and communal authorities as well as Muslim associations, should be examined," the report published on the Swiss Defense Department's website said.
The task force said that authorities of Swiss regions, cantons, should know local imams as part of a deradicalization strategy.
"The cantons must know persons operating as imams," the task force noted.
TETRA recommended Swiss authorities to be engaged in a dialogue with Muslim communities at all levels.
Education can also be an effective tool of the deradicalization strategy, the anti-terrorism group stressed, calling on the Swiss government to ensure access to existing education programs for Muslim clerics.
"It is better to use experience and important knowledge of other countries in [the areas of] preventing radicalization and deradicalization. An exchange [of experience] must be fulfilled under the United Nations, Global Counterterrorism Forum (GCTF) and Radicalisation Awareness Network (RAN)," the report said.
The task force explained that Swiss authorities should prove sources of financing religious foundations.
In late June, Swiss police arrested a suspected Islamist leader, who allegedly played an important role in radicalizing local youth and recruiting them to fight for the Islamic State (Daesh, outlawed in Russia) in Syria and Iraq.