Let the required point be \\\\(P\\\\). Given, the point lies on \\\\(x\\\\)-axis. Then, its ordinate is \\\\(0\\\\) or \\\\(y = 0\\\\). Also, given the point is at a distance of \\\\(3\\\\) units to the left of the origin. So, its abscissa will be \\\\(-3\\\\). Hence, the co-ordinates of the required point are \\\\((-3,0)\\\\). Therefore, option \\\\(A\\\\) is correct.