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Let $\tilde{\mathfrak g}$ be an affine Lie algebra of the type$A_\ell^{(1)}$. We find a combinatorial basis of Feigin-Stoyanovsky's typesubspace $W(\Lambda)$ given in terms of difference and initial conditions.Linear independence of the generating set is proved inductively by usingcoefficients of intertwining operators. A basis of $L(\Lambda)$ is obtained asan "inductive limit" of the basis of $W(\Lambda)$.

Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard $\tilde{\gsl}(\ell+1,\C)$-modules