There is a Skype plugin for Moodle 3.1 and below. Basically, it installs as a block anywhere you want it in Moodle. When accessed it just lists all users and their Skype ID along with five buttons, Create Conference, Create Chat, Send Voicemail, Add Contact and Send File. When a user clicks one of the buttons it actually activates that function in Skype and not in Moodle.
General developer forum
Skype for business into Moodle
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