Advisory by Netsparker (now Invicti)
Name: XSS Vulnerability in DataTables
Affected Software: DataTables
Affected Versions: 1.10.8 and possibly below
Vendor Homepage: 
Vulnerability Type: Cross-site Scripting
Severity: Important
Status: Fixed
CVE-ID: CVE-2015-6584
Invicti Advisory Reference: NS-15-014

Technical Details
Proof of Concept URL for XSS in DataTables:

Page: 6776.php
Parameter Name: scripts
Parameter Type: GET
Attack Pattern:'"--></style></scRipt><scRipt>alert(0x00807E)</scRipt>

For more information on cross-site scripting vulnerabilities read the article Cross-site Scripting (XSS).

Advisory Timeline
04/09/2015 - First Contact
08/09/2015 - Vendor Fixed
09/09/2015 - Advisory Released

Credits & Authors
These issues have been discovered by Onur Yilmaz while testing Invicti Web Application Security Scanner.

About Invicti
Invicti Security is transforming the way web applications are secured. Invicti empowers organizations in every industry to scale their overall security operations, make the best use of their security resources, and engage developers in helping to improve their overall security posture.