In this talk, we will present two recent contributions to the topic of restricted lattice walks. In the first part, titled 'Quadrant Walks Starting Outside the Quadrant?, we investigate a functional equation which resembles the functional equation for the generating function of a lattice walk model for the quarter plane. The interesting feature of this equation is that its orbit sum is zero while its solution is not algebraic. The solution can be interpreted as the generating function of lattice walks in $\mathbb{Z}^2$ starting at $(-1,-1)$ and subject to the restriction that the coordinate axes can be crossed only in one direction. We also consider certain variants of the equation, all of which seem to have transcendental solutions. In one case, the solution is perhaps not even D-finite. This is joint work with Manuel Kauers and Amélie Trotignon. In the second part, titled 'Inhomogeneous Restricted Lattice Walks?, we consider inhomogeneous lattice walk models in a half-space and show by a generalization of the kernel method to linear systems of functional equations that their generating functions are always algebraic. The nature of generating functions of inhomogeneous lattice walks restricted to the non-negative orthant is more diverse. We show how some of the methods employed in the homogeneous setting generalize to the inhomogeneous one at the example of time-inhomogeneous lattice walks restricted to $\mathbb{N}^2$. This is joint work with Manuel Kauers.