It seems you are not aware of ground realities bro. Tajiks are not that close to turks, they consider themselves different but do accept Turkish roots. Tajikistan is also an ally of india and Russia and would not go beyond a certain level with Turkey.
You are also wrong about saudi influence on taliban, u obviously have a biasness against them but reality is that taliban are deobandi and consider wahabis as gumraah. Saudis helped by orders of US against USSR and that is it, later on taliban stopped them funding wahabi madrassas and kicked out arabs. Its been decades that relations between taliban and saudi are not good. Its also evident from the fact that taliban had office in Qatar, which was embargoed by saudi n others.
The Turk influence is in Turkmenistan and Uzbekistan, but they are also influenced by Russia. Afghans generally dont like turks and if u read history ull see pashtuns fought turks many times. So kindly educate urself before passing comments.
Turkey tried to gain some influence in Afghanistan but how is that possible when Turkey is part of NATO, part of those invaders. Pashtuns saw Turkey as ally of invaders and hence didn't give them any respect or response.
Still i think Turkey can have respect and influence through Pakistan and qatar and taliban are likely to see them as friendly but arranging such gatherings will make that difficult.