The Al-rich part of AleNieRh was studied between 800 and 1080 C. The Al 9 Rh 2 phase was found to contain up to 8 at% Ni. The orthorhombic AleRh 3 6 -phase extends up to 17.5 at% Ni, high-temperature cubic C-Al 5 Rh 2 up to about 10 at% Ni while low-temperature hexagonal H-Al 5 Rh 2 extends up to 4 at% Ni. The Al 7 Rh 3 phases contained up to 3 at% Ni. The solubility of Rh in Al 3 Ni is up to 3 at% and in Al 3 Ni 2 up to 5 at%. The isostructural binary AlNi and AlRh phases probably form a continuous b-range of the CsCl-type solid solutions. A ternary hexagonal phase similar to Al 28 Ir 9 (a ¼ 1.213 and c ¼ 2.626 nm) was found to be formed between Al 76 Ni 4 Rh 20 and Al 76 Ni 13 Rh 11 . The formation of the high-temperature stable decagonal phase was confirmed. Another ternary phase, whose structure is not yet clarified, was revealed around Al 70 Ni 11 Rh 19 . Partial 1080, 1000, 900 and 800 C isothermal sections of the AleNieRh phase diagram are presented.