Kali Linux – Installed but Not Showing in Boot Manager

I recently bought a new Laptop:
Lenovo IdeaPad 320e
Intel i5 7200 2.5GHz processor
8Gb RAM
2Gb NVidia 940mx Graphics
1TB HDD

It came with freeDOS so i installed Windows 10 on it on EFI mode.
A few days later i also installed Kali Linux in a new partition from a live USB on EFI.

my partitions as seen on easyBCD

Partitions on my HDD:
Partition 1:Windows Boot(i guess) -450Mb
Partition 2:Windows Recovery(i guess) -100Mb
Partition 3:Windows reserved (i guess) -16Mb
Partition 4:Windows C Directory -299Gb
Partition 5:Local NTFS E Drive -200Gb
Partition 6:Local NTFS F Drive -382Gb
Partition 7:EFI Grub Boot Loader -477Mb
Partition 8:Linux SWAP -9Gb
Partition 9:Kali Linux -40Gb

When I Installed Kali for the First time(i.e. Reboot after installation) i got the grub menu to start Kali Linux so i know that Kali is Properly installed.

So the next time i selected Windows Boot Loader to Enter my Windows 10.

The Problem is now that there is no record of Kali Linux in my boot Loader.
When I enter the boot menu i can only see EFI on Network and Windows Boot Loader. There is no GRUB.

I have already tried:

1. Using bcdedit:
   bcdedit /set {bootmgr} path /EFI/Kali/grub64.efi

Doesn't work show no such directory.

2. Using live USB to reinstall GRUB:

   mount /dev/sda3 /mnt
   mount –bind /dev /mnt/dev
   mount –bind /dev/pts /mnt/dev/pts
   mount –bind /proc /mnt/proc
   mount –bind /sys /mnt/sys
   chroot /mnt
   grub-install /dev/sda
   update-grub
   exit
   umount /mnt/dev/pts
   umount /mnt/dev
   umount /mnt/proc
   umount /mnt/sys
   umount /mnt
   

After reinstalling grub, the grub menu worked till i rebooted to windows boot loader; after which it again showed no signs of Kali Linux.

3. Reinstall Kali.

So my main problem is that when i install kali i see the GRUB menu but when i use Windows Boot Loader once the it always boots into my windows 10 and doesn't show Kali anywhere in my boot Section.

Any help is appreciated.

Update:
I tried re downloading kali3 and then reinstalling.
I did the Standard Installing process and now thankfully the kali entry is showing in the boot manager.
Now the problem is the grub doesn't boot.
I still haven't tried reinstalling grub which hopefully solves my problem.

I will keep everyone updated if reinstalling grub works.

P.S.: Looks like I accidentally installed GRUB on the same partition as the Windows Bootloader but Windows Bootloader still works so it didn't overwrite anything.