The phrase "almost neglected" is correct and usable in written English.
It can be used to describe something that has been nearly overlooked or given little attention.
Example: "The project was almost neglected due to the team's focus on other priorities."
Alternatives: "barely attended to" or "hardly noticed".
I didn't realize this post was sitting for a month during which I almost neglected the slog.
The calculation shows that when the element resistance is more than 15 kΩ, the output voltage drift can be almost neglected.
Unfortunately for computer control systems, many essential issues - such as, forced con currency, time awareness of theories and software, and some others - have been almost neglected in the conventional theory.
Specifically, the new material here presented includes a detailed analysis of a previously almost neglected narrative by the only observer to witness the 1886 eruption from the southeast of the erupting craters and leave an account of his observations.
On the contrary, polysyllabic ones are almost neglected.
The financial factor was almost neglected in the earlier QFD applications (Tang et al. 2002).
This might be mainly due to almost neglecting all other plants on offer apart from T. micrantha in the 'choice' group, leading to a similar diet of both groups.
Most of mathematical models that really work are simplifications of the basic theoretical models and use in the backgrounds an assumption that some terms are big, and some other terms are small enough to neglect or almost neglect them.
A proper system of public healthcare, along with most public services, was almost completely neglected by the regimes preceding President Chávez.
He also wrote about aspects of the ancient world almost totally neglected by other historians, including accounting standards and attitudes toward debt and credit.
He himself admits that such a treatise is almost universally neglected by philosophers, and feels himself constrained to justify such a study, which he undertakes with an almost inevitable admixture of religious and theological elements.
