i could swear i watched a powerbi video that showed scraping data from an html page. but i cannot find a trace of this capability on the powerbi web site. was i dreaming, do you think?
You can do it in Excel or Power BI Desktop through Power Query, haven't seen it on the service yet.
Proud to be a Datanaut!
I have been doing something similar to this. I have scraped data with Mozenda and then used their REST API to send that data to Microsoft Power BI. Here is a quick link to explain how the two can talk.
Setting Mozenda up on a schedule to scrape and publish with their REST API allows you to take any web data, structure it and graph it in real time.
Here is a little example I did pairing Mozenda and Microsoft's Power BI.