To add Markdown to any HTML file in Jekyll, capture it into a variable and print that variable using markdownify. That is:

{% capture x %}
## This is markdown

so and so
{% endcapture %}{{ x | markdownify }}

Kramdown

Also, it’s preferred to use kramdown as your Markdown processor: it supports GitHub-like code fencing and many useful Markdown extensions.

# _config.yml
markdown: kramdown
kramdown:
  input: GFM

If you do, there’s a great alternative. Name your HTML files as .md, which is fine, because Markdown will ignore HTML blocks by default. You can then opt into Markdown processing via markdown="1". More info on this on Kramdown’s documentation. Hat tip to @marksteve.

<div>
  <h3>I'm HTML</h3>
  <div markdown="1">
I am *Markdown text*. Be sure not to indent me, else
I'll be interpreted as a code block.
  </div>
</div>