As of September 8th 2013 and considering the direct to DVD sequel released in 2006, there is no reason to believe there will ever be a third installment in the Fox and the Hound series.
That's really disappointing.
Probably not. I don't even know if there was a Fox and the Hound 2.
The Huckleberry Hound Show - 1958 Fast Gun Huck Kind to Meeces Week Booty on the Bounty 3-9 was released on: USA: 6 November 1960
John Clayton, 3, Turpey Street, the Borough.
3
Sandor Clegane, aka 'The Hound' as alive and well, as of Episode 3 of Season 7. His death was never confirmed in the novels, and it is hinted he is alive and atoning for his past under a new identity.
Probably not. I don't even know if there was a Fox and the Hound 2.
The Movie Hound - 1927 was released on: USA: 3 July 1927
The Jetsons - 1962 Clean as a Hound's Tooth 3-6 was released on: USA: 2 November 1987
Curious George - 2006 Relax The Box and the Hound 3-12 was released on: USA: 16 February 2010
Food Hound Tidbits - 2011 Cheesy Chicago Goodness 1-3 was released on: USA: 2011
Ben Casey - 1961 The Bark of a Three-Headed Hound 3-23 was released on: USA: 12 February 1964
The Hound of the Baskervilles - 1983 - TV was released on: USA: 3 November 1983 Portugal: February 1985 (Fantasporto Film Festival)
Disney Get Connected - 2008 HSM3 Disney Channel Sing It 1-3 was released on: USA: 16 October 2008
D23's Disney Geek - 2010 3-3 was released on: USA: 25 April 2012
Disney 365 - 2006 Kingdom Keepers 3 was released on: USA: September 2010
Disney Get Connected - 2008 Disney Sing It Pop Hits 2 3-9 was released on: USA: 16 October 2010
The Huckleberry Hound Show - 1958 Loot to Boot 4-12 was released on: USA: 3 November 1961