I tried this and had no issues. Can you provide more detail on how you encountered a problem? This was my code sample:

<xe:namePicker id="namePicker2" for="inputText2" rendered="false">
    <xe:this.dataProvider>
        <xe:dominoNABNamePicker></xe:dominoNABNamePicker>
    </xe:this.dataProvider>
</xe:namePicker>
<xp:inputText id="inputText2" styleClass="form-control">
    <xp:typeAhead mode="full" minChars="1">
        <xp:this.valueList><![CDATA[#{javascript:
            var result = getComponent("namePicker2").getTypeAheadValue(this);
            return result;
            }]]>
        </xp:this.valueList>
    </xp:typeAhead>
</xp:inputText>
<xp:button id="button10" value="dialog">
    <xp:eventHandler event="onclick" submit="true" refreshMode="complete">
        <xp:this.action>
            <xp:executeScript>
                <xp:this.script><![CDATA[#{javascript:
                    var dialog = getComponent("dialog2");
                    dialog.show();}]]>
                </xp:this.script>
            </xp:executeScript>
        </xp:this.action>
    </xp:eventHandler>
</xp:button>
<xe:dialog id="dialog2">
    <xe:dialogContent id="dialogContent2">
        This is a dialog
        <xp:inputText id="inputText3">
            <xp:typeAhead mode="full" minChars="1">
                <xp:this.valueList><![CDATA[#{javascript:
                    var result = getComponent("namePicker1").getTypeAheadValue(this);
                    return result;}]]>
                </xp:this.valueList>
            </xp:typeAhead>
        </xp:inputText>
    </xe:dialogContent>
</xe:dialog>