Hepatocellular Carcinoma (HCC): Given the patient's history of hepatitis B, which is a significant risk factor for HCC, a small partially cystic and solid nodule is concerning for HCC, especially in the context of chronic liver disease.

Hemangioma: A common benign liver lesion that can appear as a cystic or solid nodule, especially if it's a cavernous hemangioma. However, the presence of hepatitis B might slightly lower the likelihood compared to HCC.
Focal Nodular Hyperplasia (FNH): Although less common than hemangiomas, FNH can present as a solid nodule and might have a central scar, but it's less likely to be partially cystic.
Regenerative Nodule: In the setting of chronic liver disease, regenerative nodules can form, which might appear as solid or partially cystic nodules on imaging.

Cholangiocarcinoma: Although less common than HCC in hepatitis B patients, cholangiocarcinoma can present as a cystic or solid mass and is critical to diagnose early due to its poor prognosis.
Metastasis: If the patient has a history of other cancers, metastasis to the liver should be considered, as it can present in various ways, including as cystic or solid nodules.

Biliary Cystadenoma/Cystadenocarcinoma: These are rare tumors of the biliary epithelium that can present as cystic lesions and have the potential for malignancy.
Intrahepatic Bile Duct Cyst (Choledochal Cyst): A congenital anomaly that can appear as a cystic structure within the liver, though it's less likely to be confused with a solid nodule.
Hepatic Lymphangioma: A rare benign lesion that can appear as a cystic mass, but it's uncommon and usually presents in childhood.
Hepatic Sarcoma: Extremely rare and can present as a solid or cystic mass, but it's much less common than other liver tumors.