Brian Tally VA Medical Care and Liability Improvement Act This bill imposes civil liability under the federal tort claim law upon certain contractors hired by the Department of Veterans Affairs (VA) for their negligence or malpractice in providing medical care to veterans. Such liability is waived if the VA provides a notice to affected individuals or their estates identifying the full names of the contractors involved and the nature of the health care they furnished, among other information. The VA must provide such notice within 30 days after the veteran or the veteran's estate files a claim. The bill also requires the VA to revoke a contractor's authorization to provide health care at a VA facility if the contractor is a defendant in at least three separate negligence claims during a five-year period. This revocation requirement also applies to VA physicians and other health practitioners if claims against the physicians or providers resulted in a judgment against the United States or were compromised or settled.