Medium allows you to read upto 3 premium articles for free every month. But there are few other ways with which you can read more articles for free.
Use multiple medium accounts
If you have more than one medium account, feel free to use them to read more articles. While this works, this is usually a tedious option — having to log in on multiple accounts just to read an article.
Try using incognito tab
You may use your incognito tab to read few of those premium articles. I haven’t been able to determine if there’s a limit to the number of articles you can read though.
Telegram’s Instant View
This looks like the most promising option thus far. Interestingly, when you share a medium article on telegram, this little ‘Instant view’ button comes up. When you click on the button, it enables you to read the article on telegram’s interface itself without having to leave the app. Do note here that the option will be available only when use telegram on your mobile phone.
What I usually do is send the articles I wish to read to ‘Saved Messages’ on Telegram and then use the instant view button to read them on telegram.
Here again, all the premium articles I’ve tried reading using instant view have worked. Not certain if there’s a limit beyond which the articles won’t be accessible but so far, so good.