We report the results of a search for the semileptonic decays D+ --> phie(+) nu, D+ --> phiK(-) pi(+) e(+) nu, D-0 --> phiK(-) e(+) nu and D-0 --> phiK(-) mu(+) nu using the BES detector at the BEPC e(+) e(-) Collider. Using a data sample of 22.3pb(-1) collected at the center-of-mass energy roots = 4.03GeV, we select 2472 +/- 87D(tag)(-) DX and 7628 +/- 149 (D) over bar (0)(tag) DX singly tagged D events, where the X could be gamma, pi(0) and/or pi(+/-). Based on the method of "combined D+ and D-0 single and double tags", we determine that 2471 +/- 218 D+ X and 7629 +/- 251 D-0 X are contained...