DA40 instructor pilot reported a near midair collision on departure.

Attributes
ACN	1563971
Time
Date	201807
Local Time Of Day	1201-1800
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	DA40 Diamond Star
Operating Under FAR Part	Part 91
Flight Phase	Climb
Route In Use	Other ODP Climb Out
Flight Plan	None
Aircraft 2
Make Model Name	Cessna Single Piston Undifferentiated or Other Model
Operating Under FAR Part	Part 91
Flight Phase	Initial Approach
Person 1
Function	Instructor Pilot Not Flying
Qualification	Flight Crew Commercial Flight Crew Multiengine Flight Crew Instrument Flight Crew Flight Instructor
Experience	Flight Crew Last 90 Days 250 Flight Crew Total 830 Flight Crew Type 500
Events
Anomaly	Conflict NMAC
Miss Distance	Horizontal 200 Vertical 0

Narrative:

On a training flight for my student working on his instrument rating we were climbing out and I heard a cessna setting up to come into the traffic pattern when we were taking off. He made a call that he was 6 miles west of the airport. We were tracking out the VOR that is about 7 miles west of the airfield. As we started to make our turn to the west I made radio calls that we were heading out to the VOR on the departure procedure. When we were about 2 miles west of the field I made a call and asked where [the cessna] was and there was no answer. I called again and no answer. The third time I called he said he was 4 miles west of the field which was about where we were. I asked for some clarification of where he was and as I looked for him he came out of my blind spot and passed of our left wing about 300 feet from us. He didn't even see us. I learned after the flight that he is a student pilot flying solo.

Original NASA ASRS Text

Title: DA40 instructor pilot reported a near midair collision on departure.

Narrative: On a training flight for my student working on his instrument rating we were climbing out and I heard a Cessna setting up to come into the traffic pattern when we were taking off. He made a call that he was 6 miles west of the airport. We were tracking out the VOR that is about 7 miles west of the airfield. As we started to make our turn to the west I made radio calls that we were heading out to the VOR on the departure procedure. When we were about 2 miles west of the field I made a call and asked where [the Cessna] was and there was no answer. I called again and no answer. The third time I called he said he was 4 miles west of the field which was about where we were. I asked for some clarification of where he was and as I looked for him he came out of my blind spot and passed of our left wing about 300 feet from us. He didn't even see us. I learned after the flight that he is a student pilot flying solo.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.