Couple of clarifications: When I identify the issue, I've tried to switch to a different charging station at my office and then drove to a Tesla Supercharger station. In both the Amp was '0' and the mi/hr charging was '0' as well. In the Supercharging station I kept the car plug-in for almost an hour, with no progress whatsoever. I live in south California, so I doubt if the issue caused by the weather conditions. I had abut 55 miles left in my battery in my first attempt to recharge.
As mentioned, I called the Tesla road assistance and they asked me to drive over immediately to the closest Tesla service location. The kept the car over night, they succeed to recharge it. During their logs analysis they found my multiple attempts to recharge yesterday. They call me few min ago and said that they involve the Engineering team to analyze the logs further. I'll keep you all posted...