Do you need to see modal verbs in a reading context? Here's a reading text on modal verbs for the pre-intermediate level of students, which is also accompanied by a set of true/false questions.The true or false questions are provided with feedback notes, which show the rationale behind the answers.
The reading text is a dialogue between two students talking about a submission of a project in their schools. Modal verbs are suitably implemented in the conversation according to their common uses. A great warm-up activity for a grammar revision on modal verbs would be finding the modal verbs and explaining their meanings in the context. In this way, they'll adequately exploit the text in a revision lesson for modal verbs.
Here are modal verbs used in the dialogue: must, have to, should, can, can't, don't have to.
You can find the online version here if you want to check the suitability of the questions.