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How old is the phone?
Thank you for confirming. The reason that I was asking is because I wanted to see if it was covered under the warranty for a repair/replacement but it is outside of the 1 year warranty.
This type of issue with the touch sensor can be either software or hardware related. The iPhone does not have the capability to calibrate the screen again like some devices allow. Since, the issue has been going on for a while and it continues to happen again after a reboot, it is likely that the screen would need to be replaced. If that is the case, it would cost around $100-$150 for the screen and labor. An Apple store or a local "U Break I Fix" type of shop can replace the screen for you and quote you for their job. I would recommend that you call around because the prices can vary drastically from place to place. For example, there is a shop around my location that would charge $225 and another that charges $140 so make sure to call around.
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Without physically holding the phone, I cannot tell where you are pressing during telephone mode and where you are pressing outside of the mode. Since this type of issue is "hands-on", I would recommend taking it to a local repair shop or Apple store and they can diagnosis it for you. The diagnosis/quote would be free and they can determine if the screen needs to be replaced.
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