In 1959, Oliviero Pigini founded EKO in Recanati which then went on to become a major European musical instrument maker focusing their branding on the lower end of the market. As well as their own branding they were OEM for a number of more prestigious brands like Vox. In the 1970's their US distributor went bankrupt, I don't know if they did too but it certainly hurt business for them as did far eastern competition. They are still in business today though and have to an extent embraced the far eastern competition as their current catalogue includes a number of Eko brandes Chinese made instruments. 

Onto their catalogue and I have read that it did include Ukuleles in the early days though I have never seen any. In the 2000's it included fairly budget looking Chinese made Sopranos that were sometimes also branded Ukeit though in 2014 they have moved up in quality with a full range of Soprano to Baritone scale mahogany and spruce top Ukuleles, some of which they include in their Evo range of instruments, (I am unsure if these are solid or laminate and made in Italy or elsewhere, from the price though I would say Laminate and elsewhere? - I did ask but no answer). They have also expanded the Ukeit range to Concert and Tenor. 

On a number of the models, (especially the Ukeit range, though not all of them), I have seen the name Eko is painted on the upper bout of the soundboard, and looking at the early acoustic Guitars I wouldn't be surprised if this was the case on early Ukuleles too, except it would be burned on rather than painted.