Illustrator does not support my SVG file that contains SVG Image elements

I have made an SVG generator for my application. It generates many path elements and it adds some <image> elements.
Those image elements can have JPG, PNG, SVG or AI extension. I'm storing those image files in the same folder the main SVG is saved.
This way, the image elements point to these files like this:

<image id="Asset-1" xlink:href="asset-1.svg" ...></image>
<image id="Asset-2" xlink:href="asset-2.png" ...></image>
<image id="Asset-3" xlink:href="asset-3.svg" ...></image>

Illustrator seems to have problems to open the .svg images. At first, I thought I was doing something wrong (maybe I do) but I've opened my file with Inkscape and Chrome and it has no problems at all.
Is there a way I can use images with SVG that Illustrator can open without problems? If not, is there a known workaround?
Thanks in advance