For time-like separated events, reading of 2nd event of any observer from central event (i.e. at origin)
should lie within top light cone (we will consider only future events and ignore the bottom cone for this discussion) and
has to be on hyperbola within the top light-cone.
Now, since hyperbola cuts $t$-axis only at one point and that is the only point where events are happening at the same place, question is can there be more than one reference frames for which 2 time-like separated events happen at same place?