I really don't think you understand what it means for two clocks to be synchronized. At a minimum, those clocks must "tick" at the same rate. Since two clocks in relative motion tick at different rates, they cannot possibly be synchronized. (As I mentioned earlier, being synchronized does not simply mean that the two clocks once read the same time at a particular instant--it means that they continue to read the same time.)Let me try again.
I assert, the only purpose of synchronizing two clocks is to compare their rates when they are in relative motion. To compare rates, only two points on their time axis are required. Hence, If we make to read two clocks in relative motion the same arbitrary reading, the synchronization is achieved. (we have set both clocks to origin of time axis, let their space co-ordinates be different), now while comparing them, we only need their respective times at the instance of comparison.
The moral of (my ) story is, two clocks in relative motion can be synchronized, even when their space coordinates are different.
Details and precision are crucial when discussing relativity.Example is quite carefully made, but involves lots of details.
I strongly recommend that you stick with this example. If you choose another example, be ready to provide the same level of detail.And I think I understand it as explained by the poster. May be I will put a more correct situation later, when I can think of it correctly.