Collisionless magnetic reconnection in the driftwave plasma regime, rho(s,i)much greater than d(e), is studied using a drift-kinetic description of electrons and fluid ions. A fully nonlinear Bernstein-Greene-Kruskal (BGK) stationary solution is constructed which has the form of a quasi-three-dimensional chain of electron holes coupled to hydrodynamic vortices. This stationary structure is obtained by setting up a plateau in the electron distribution function, followed by the trapping and consecutive depletion of resonant particles, and by the removal of the singular current layers by their short-circuiting via electron gyrations. (C) 2000 American Institute of Physics. [S1070-664X(00)04902-8].