Popups in Safari

I am often getting popups (see attachment) when I search something in Safari. It is like a small insert screen giving me a short description of the subject, with links to websites.

It is not a big deal on my iMac, as I can click to the side and get rid of it.

But, when it happens on my iPhone or iPad I do not have that option and cannot go any further, unless I click on the link, which does me no good.

Does anyone have an idea how I stop this from happening?

Thanks!