Thank you for your inquiry. From what we gather from the question, you were asking about the possibility of acquiring HIV after contamination of a pre-existing, bleeding wound with blood presumably from another individual. From the information given, this scenario is determined to be Low Risk (evidence of transmission occurs through these activities when certain conditions are met).
According to the HIV Transmission Equation (see below), HIV transmission requires a bodily fluid (e.g. blood) that has direct access to the bloodstream (e.g. via open cuts and sores, sexual organs, mucosal membranes, etc.) through an High/Low/Negligible activity.
In this scenario, the risk of transmission is heavily dependent on a few factors. First of all, the degree to which you were cut. If you only had a superficial cut, there would be No Risk, as this would not permit any hypothetical HIV positive particles in the other individual's blood to have sufficient access to your bloodstream, a necessary condition of the HIV Transmission Equation. A superficial cut is a small cut that "does not involve fat or muscle tissue" (i.e., leaves the deeper skin layers intact) and is not bleeding heavily (1). However, if you had deep cuts/profusely bleeding wounds, this would lead to a higher risk assessment due to the possibility of the other individual's blood having sufficient access to your bloodstream.
Another important consideration is the fact that HIV (contained in a body fluid such as blood) is extremely sensitive to the outer environment. Exposure to oxygen in the air causes HIV to undergo a rapid reduction in concentration (2). From the CDC, HIV contained in a fluid has a rapid (within several hours) reduction in concentration of 90-99%, which would render it inactive (2). You mentioned that the blood was splashed on you but did not provide details on the context in which this occurred. If this blood was drying on a surface, it is highly unlikely for it to cause infection for this reason. However, if this was "fresh" blood from another individual, that would warrant a higher risk assessment.
Recommendation: Refer to a health care provider for HIV testing.
All the best,
AIDS Vancouver Online/Helpline, Shirley
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(1) Lacerations (Cuts) Without Stitches
(2) HIV Environmental Exposure