As you have asked about the notification for training in Hindustan Aeronautical limited (HAL), I am giving you information about it, check below for the details

I want to tell you that currently there is no notification is there for training in Hal.
However, you can check its website regularly to know about it
To check it, you can follow steps given below
Go to HAL website
Click on Careers at the top right of screen, the page open look like



Here you will get the information about the training notification when available.

Here I found following:

Recruitment of Experimental Test Pilot (Rotary Wing) (Grade- VI/VII) and Flight Test Engineer (Rotary Wing) (Grade-VI/VII) at Bangalore [Advt. No. HR/CO/ETP/FTE/2016)
Withdrawal & Cancellation of Offers of Appointment of Diploma Trainees & Technician Trainees (w.r.t. MPS 2010- 11)
Merit list of Provisionally Selected candidates with Instructions for verification & Joining of ITI Apprenticeship 2016-17 - Hyderabad Division
Recruitment of Paramedical Staff under Special Recruitment Drive for Medical Health Unit, HAL Bangalore, TO APPLY ONLINE Click here
Engagement of Apprentices in Modern Office Management & Secretarial Practice (MoM & SP) Trade