While no formal negotiations have taken place, Sony is looking at Bridesmaid's director Paul Feig to direct Ghostbusters 3.

The next Ghostbusters movie has been long in the works and it look like Sony has their eye on Paul Feig.

The reboot of the franchise is said to focus on female Ghostbusters so it only makes sense to bring in Feig who directed Bridesmaids and The Heat. 

The long in-development sequel previously had Ivan Reitman, the director of 1984’s original Ghostbusters and 1989’s Ghostbusters II, attached.
On March 18, Reitman exited the project and a new search for a helmer began. Several websites indicated that 22 Jump Street directors Phil Lord and Christopher Miller were in line for the job but those reports were inaccurate.
The original script was by Gene Stupnitsky and Lee Eisenberg — writers of NBC’s The Office and the 2011 comedy Bad Teacher — and has been revised following the death of original castmember Harold Ramis on Feb. 24.
The story introduces new Ghostbusters and hands the baton from at least a couple of the originals. Dan Aykroyd has said he will return but Bill Murray has not committed.
Feig is also directing the action comedy Spy, starring Melissa McCarthy, for a Memorial Day 2015 release.

My only question is if Paul Feig signs on to direct, does that mean Melissa McCarthy being cast would be soon to follow?  We’ll have to wait and see if Sony’s wishes are granted with getting Feig.

Source: THR