Does this issue also happens when you have disabled the flags?

Partially: if I disable the switcher language and unset the default italian and english menu, the link of title menu in the slideshow work fine.
The arrows of slideshow do not work even though disabling these two settings.

Have you chosen each slideshow to be assigned to each language? I saw that the nuSlider script is loading twice for two slideshow modules but you are only using one. Maybe this causes the issues.
Please recheck that each frontpage menu item of each language os assigned to the correct slideshow and that each slideshow is assigned to the correct language.

Hi, I have checked all slideshow assigned to each language and seems ok.
At this point, I gave up and I have reinstalled in another hosting the demo package.
With surprise I realize that the problem with the slideshow (in the template "restaurant") already exists in your original demo package !
This is a fresh installation of your demo package of Nokkori, with the same problem...
website.free-time-activities.com/restaurant

In the link you sent above the next and previous buttons are working fine.
Have you updated your template package with the latest version 1.0.2?

I have update to version 1.0.2, but the problem is not solved.

I did other tests:
_ with Chrome v. 31.0.1650.57 (last version) doesn't work
_ with Safari v. 7.0 (9537.71) doesn't work
_ with Internet Explorer v. 9.0.8112.16421 works !

With which browser did you open the website ? Only with Internet Explorer ?
Because it is important that this template also works with Safari and Chrome !

Add this in your custom.css file: body.themeIsRestaurant.isFrontpage section.content {display:none;}

Make sure that the isFrontpage class is added to the body when browsing the homepage.

For the website.free-time-activities.com/restaurant I have checked it in
Chrome 31.0.1650.57 and Firefox 25.0 and it works.
Try the above addition to this one as well and let me know to check again.

Added on custom.css, but no resolve the problem.

Tried on:
_ pc Windows 7 with Firefox 25.0.1 and Chrome 31.0.1650.57 doesn't work, with Internet Explorer 9.0.8112.16421 works
_ pc Windows 7 with Firefox 25.0.1 and Chrome 31.0.1650.57 doesn't work, with Internet Explorer 10.0.9200.16736 works
_ Mac OS X with Safari v. 7.0 (9537.71) and Chrome 31.0.1650.57 doesn't work

I don't understand why on 3 different pc I have the similar problem and only with Internet Explorer works.

Using the developer console firefox and chrome I note some errors (see file attached).
On Internet Explorer no error found.

On your newsite.free-time-activities.com/ please disable one of the two slideshow modules you are loading.

disabled the slideshow assigned to Italian menu, remains only that one for Main menu.
Slideshow arrow works, title and readmore don't work.