The European Space Agency announced that it was now ceasing any further attempts to get a signal.
It was Esa's 15m antenna in Perth, Australia, that first managed to get a response from Phobos-Grunt on 22 and 23 November (GMT). That success was quickly followed by Russian ground controllers using a 0.5m dish in Baikonur, Kazakhstan.
Phobos-Grunt is currently moving in an orbit with an altitude that varies between 200km (perigee) and 340km (apogee).
Phobos-Grunt was built to land on the larger of Mars' two moons, Phobos, and scoop up rock to bring back to Earth.
The mission is also notable because China's first Mars satellite, Yinghuo-1, has been launched piggy-back on the main Russian spacecraft.