Hey Leawaz,
Thanks for using Apple Support Communities! I definitely understand how important it is that your iPhone work as expected with every call, and I'm happy to help.
To start, if you haven't already done so, I recommend restarting the device and testing if this behavior continues. You can find the steps for restarting here: Restart your iPhone, iPad, or iPod touch
Are you able to tap the appropriate number choice, and see it appear on screen? If you're not able to make a selection, make sure you remove and case or screen protector on your device and try again.
I also recommend updating to iOS 13.1.1. if you haven't already done so. You can see the steps for updating here: Update your iPhone, iPad, or iPod touch
If you need additional assistance after those steps, I would like to get a bit more information so we can continue working toward a resolution. Can you please answer the following?
You mentioned you experienced this multiple times this week, was this with different company/contacts or all with the same contact number?
Are you able to make a selection, see it appear on screen and the system on the other end just isn't registering that?
Are you able to use another device to make those calls without issue?
Thanks again, and have a great day!