If $\mathrm{𝒞︀}$ is a monoidal, $\mathrm{𝒱︀}$-enriched category, then monoid objects for the Day Convolution over $\mathrm{𝒞︀}$ are given by lax monoidal functors from $\mathrm{𝒞︀}$ to $\mathrm{𝒱︀}$.