DA40 Diamond Star
Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 200; Flight Crew Total 720; Flight Crew Type 650
Situational Awareness; Communication Breakdown
ATC Issue All Types; Conflict NMAC
Flight Crew Took Evasive Action
Airspace Structure; Human Factors
We were a training flight leaving ZZZ after a practice ILS on a 180 heading. We were still monitoring ZZZ Tower; but were not in direct contact with them. Climbing through 3;500 feet I noticed an aircraft 500 feet above us approximately 10 miles to the east of our position on a converging path. I assumed the aircraft was a slow moving aircraft. We usually don't see jets this low around this area. As we were reaching 4;000 feet; I double checked TCAS and noticed the traffic I previously saw was rapidly closing distance. I spotted the aircraft at my 10 o'clock; which was on a course to collide with us. I made a 60 to 70 degree bank turn to the right and began a rapid descent; while keeping the traffic in sight. Nothing else came out of the situation. I called ATC approach after landing at ZZZ1 and talked to one of the controllers who was on duty when the incident happened. He informed us that if we hadn't taken action; the situation could have ended with a grim outcome. He gave me some tips of how they handle their inbound aircraft in that area; and I will pass those tips onto the rest of my company.
On an instrument training flight leaving ZZZ we were cleared for VFR. As we started our climb to cruising altitude; I was under the hood. My instructor notified me as we were climbing through 3;700 feet that we had traffic to our left and proceeded to take evasive action by putting us into a rapid descent/bank.
DA-40 flight instructor and instrument pilot in training reported a NMAC.